Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(3,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.o (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 170.7 |
Dual form | 170.2.o.a.73.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{11}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.923880 | + | 0.382683i | −0.653281 | + | 0.270598i | ||||
\(3\) | −0.518138 | − | 2.60485i | −0.299147 | − | 1.50391i | −0.779257 | − | 0.626705i | \(-0.784403\pi\) |
0.480110 | − | 0.877209i | \(-0.340597\pi\) | |||||||
\(4\) | 0.707107 | − | 0.707107i | 0.353553 | − | 0.353553i | ||||
\(5\) | 0.404835 | − | 2.19912i | 0.181048 | − | 0.983474i | ||||
\(6\) | 1.47553 | + | 2.20829i | 0.602383 | + | 0.901530i | ||||
\(7\) | −1.33574 | + | 0.892510i | −0.504861 | + | 0.337337i | −0.781778 | − | 0.623557i | \(-0.785687\pi\) |
0.276918 | + | 0.960894i | \(0.410687\pi\) | |||||||
\(8\) | −0.382683 | + | 0.923880i | −0.135299 | + | 0.326641i | ||||
\(9\) | −3.74516 | + | 1.55130i | −1.24839 | + | 0.517099i | ||||
\(10\) | 0.467546 | + | 2.18664i | 0.147851 | + | 0.691477i | ||||
\(11\) | −3.02313 | + | 2.01999i | −0.911507 | + | 0.609050i | −0.920429 | − | 0.390911i | \(-0.872160\pi\) |
0.00892150 | + | 0.999960i | \(0.497160\pi\) | |||||||
\(12\) | −2.20829 | − | 1.47553i | −0.637478 | − | 0.425949i | ||||
\(13\) | − | 3.47326i | − | 0.963309i | −0.876361 | − | 0.481654i | \(-0.840036\pi\) | ||
0.876361 | − | 0.481654i | \(-0.159964\pi\) | |||||||
\(14\) | 0.892510 | − | 1.33574i | 0.238533 | − | 0.356990i | ||||
\(15\) | −5.93814 | + | 0.0849082i | −1.53322 | + | 0.0219232i | ||||
\(16\) | − | 1.00000i | − | 0.250000i | ||||||
\(17\) | 0.483478 | − | 4.09466i | 0.117261 | − | 0.993101i | ||||
\(18\) | 2.86642 | − | 2.86642i | 0.675622 | − | 0.675622i | ||||
\(19\) | 5.49423 | + | 2.27578i | 1.26046 | + | 0.522101i | 0.910051 | − | 0.414495i | \(-0.136042\pi\) |
0.350411 | + | 0.936596i | \(0.386042\pi\) | |||||||
\(20\) | −1.26875 | − | 1.84127i | −0.283701 | − | 0.411721i | ||||
\(21\) | 3.01695 | + | 3.01695i | 0.658354 | + | 0.658354i | ||||
\(22\) | 2.01999 | − | 3.02313i | 0.430663 | − | 0.644533i | ||||
\(23\) | −2.02929 | − | 0.403651i | −0.423136 | − | 0.0841671i | −0.0210709 | − | 0.999778i | \(-0.506708\pi\) |
−0.402065 | + | 0.915611i | \(0.631708\pi\) | |||||||
\(24\) | 2.60485 | + | 0.518138i | 0.531714 | + | 0.105764i | ||||
\(25\) | −4.67222 | − | 1.78056i | −0.934443 | − | 0.356112i | ||||
\(26\) | 1.32916 | + | 3.20887i | 0.260670 | + | 0.629312i | ||||
\(27\) | 1.55482 | + | 2.32695i | 0.299225 | + | 0.447822i | ||||
\(28\) | −0.313408 | + | 1.57561i | −0.0592285 | + | 0.297762i | ||||
\(29\) | −0.814533 | − | 4.09494i | −0.151255 | − | 0.760411i | −0.979720 | − | 0.200370i | \(-0.935786\pi\) |
0.828465 | − | 0.560041i | \(-0.189214\pi\) | |||||||
\(30\) | 5.45363 | − | 2.35087i | 0.995692 | − | 0.429208i | ||||
\(31\) | 4.50895 | + | 3.01279i | 0.809832 | + | 0.541112i | 0.890156 | − | 0.455656i | \(-0.150595\pi\) |
−0.0803237 | + | 0.996769i | \(0.525595\pi\) | |||||||
\(32\) | 0.382683 | + | 0.923880i | 0.0676495 | + | 0.163320i | ||||
\(33\) | 6.82817 | + | 6.82817i | 1.18863 | + | 1.18863i | ||||
\(34\) | 1.12028 | + | 3.96799i | 0.192127 | + | 0.680505i | ||||
\(35\) | 1.42198 | + | 3.29876i | 0.240359 | + | 0.557592i | ||||
\(36\) | −1.55130 | + | 3.74516i | −0.258549 | + | 0.624194i | ||||
\(37\) | 5.44865 | − | 1.08380i | 0.895753 | − | 0.178176i | 0.274315 | − | 0.961640i | \(-0.411549\pi\) |
0.621438 | + | 0.783464i | \(0.286549\pi\) | |||||||
\(38\) | −5.94691 | −0.964716 | ||||||||
\(39\) | −9.04734 | + | 1.79963i | −1.44873 | + | 0.288171i | ||||
\(40\) | 1.87679 | + | 1.21558i | 0.296747 | + | 0.192201i | ||||
\(41\) | 2.21131 | − | 11.1170i | 0.345349 | − | 1.73619i | −0.283782 | − | 0.958889i | \(-0.591589\pi\) |
0.629131 | − | 0.777299i | \(-0.283411\pi\) | |||||||
\(42\) | −3.94184 | − | 1.63276i | −0.608239 | − | 0.251941i | ||||
\(43\) | 4.83901 | + | 2.00438i | 0.737941 | + | 0.305665i | 0.719811 | − | 0.694170i | \(-0.244229\pi\) |
0.0181306 | + | 0.999836i | \(0.494229\pi\) | |||||||
\(44\) | −0.709326 | + | 3.56602i | −0.106935 | + | 0.537598i | ||||
\(45\) | 1.89531 | + | 8.86406i | 0.282536 | + | 1.32138i | ||||
\(46\) | 2.02929 | − | 0.403651i | 0.299203 | − | 0.0595151i | ||||
\(47\) | −1.43673 | −0.209569 | −0.104785 | − | 0.994495i | \(-0.533415\pi\) | ||||
−0.104785 | + | 0.994495i | \(0.533415\pi\) | |||||||
\(48\) | −2.60485 | + | 0.518138i | −0.375978 | + | 0.0747867i | ||||
\(49\) | −1.69117 | + | 4.08284i | −0.241595 | + | 0.583263i | ||||
\(50\) | 4.99796 | − | 0.142959i | 0.706818 | − | 0.0202174i | ||||
\(51\) | −10.9165 | + | 0.862208i | −1.52862 | + | 0.120733i | ||||
\(52\) | −2.45597 | − | 2.45597i | −0.340581 | − | 0.340581i | ||||
\(53\) | 3.14380 | + | 7.58981i | 0.431834 | + | 1.04254i | 0.978696 | + | 0.205317i | \(0.0658226\pi\) |
−0.546861 | + | 0.837223i | \(0.684177\pi\) | |||||||
\(54\) | −2.32695 | − | 1.55482i | −0.316658 | − | 0.211584i | ||||
\(55\) | 3.21832 | + | 7.46597i | 0.433958 | + | 1.00671i | ||||
\(56\) | −0.313408 | − | 1.57561i | −0.0418809 | − | 0.210549i | ||||
\(57\) | 3.08132 | − | 15.4908i | 0.408131 | − | 2.05181i | ||||
\(58\) | 2.31960 | + | 3.47152i | 0.304578 | + | 0.455833i | ||||
\(59\) | −1.18771 | − | 2.86738i | −0.154627 | − | 0.373302i | 0.827515 | − | 0.561443i | \(-0.189754\pi\) |
−0.982142 | + | 0.188141i | \(0.939754\pi\) | |||||||
\(60\) | −4.13886 | + | 4.25894i | −0.534324 | + | 0.549826i | ||||
\(61\) | 14.2603 | + | 2.83655i | 1.82585 | + | 0.363183i | 0.984230 | − | 0.176894i | \(-0.0566051\pi\) |
0.841615 | + | 0.540077i | \(0.181605\pi\) | |||||||
\(62\) | −5.31867 | − | 1.05795i | −0.675472 | − | 0.134360i | ||||
\(63\) | 3.61800 | − | 5.41472i | 0.455825 | − | 0.682190i | ||||
\(64\) | −0.707107 | − | 0.707107i | −0.0883883 | − | 0.0883883i | ||||
\(65\) | −7.63810 | − | 1.40610i | −0.947390 | − | 0.174405i | ||||
\(66\) | −8.92144 | − | 3.69538i | −1.09815 | − | 0.454870i | ||||
\(67\) | −0.280368 | + | 0.280368i | −0.0342524 | + | 0.0342524i | −0.724026 | − | 0.689773i | \(-0.757710\pi\) |
0.689773 | + | 0.724026i | \(0.257710\pi\) | |||||||
\(68\) | −2.55349 | − | 3.23723i | −0.309656 | − | 0.392572i | ||||
\(69\) | 5.49515i | 0.661539i | ||||||||
\(70\) | −2.57612 | − | 2.50349i | −0.307905 | − | 0.299224i | ||||
\(71\) | 8.39457 | − | 12.5634i | 0.996252 | − | 1.49100i | 0.129923 | − | 0.991524i | \(-0.458527\pi\) |
0.866329 | − | 0.499473i | \(-0.166473\pi\) | |||||||
\(72\) | − | 4.05373i | − | 0.477737i | ||||||
\(73\) | −2.74845 | − | 1.83646i | −0.321682 | − | 0.214941i | 0.384235 | − | 0.923235i | \(-0.374465\pi\) |
−0.705918 | + | 0.708294i | \(0.749465\pi\) | |||||||
\(74\) | −4.61914 | + | 3.08641i | −0.536965 | + | 0.358788i | ||||
\(75\) | −2.21724 | + | 13.0930i | −0.256025 | + | 1.51185i | ||||
\(76\) | 5.49423 | − | 2.27578i | 0.630231 | − | 0.261050i | ||||
\(77\) | 2.23524 | − | 5.39634i | 0.254729 | − | 0.614970i | ||||
\(78\) | 7.66996 | − | 5.12490i | 0.868452 | − | 0.580281i | ||||
\(79\) | −8.99386 | − | 13.4603i | −1.01189 | − | 1.51440i | −0.849443 | − | 0.527681i | \(-0.823062\pi\) |
−0.162446 | − | 0.986717i | \(-0.551938\pi\) | |||||||
\(80\) | −2.19912 | − | 0.404835i | −0.245869 | − | 0.0452619i | ||||
\(81\) | −3.34351 | + | 3.34351i | −0.371501 | + | 0.371501i | ||||
\(82\) | 2.21131 | + | 11.1170i | 0.244199 | + | 1.22767i | ||||
\(83\) | 5.82251 | − | 2.41176i | 0.639104 | − | 0.264725i | −0.0395117 | − | 0.999219i | \(-0.512580\pi\) |
0.678616 | + | 0.734494i | \(0.262580\pi\) | |||||||
\(84\) | 4.26662 | 0.465526 | ||||||||
\(85\) | −8.80890 | − | 2.72089i | −0.955460 | − | 0.295122i | ||||
\(86\) | −5.23770 | −0.564796 | ||||||||
\(87\) | −10.2447 | + | 4.24348i | −1.09834 | + | 0.454949i | ||||
\(88\) | −0.709326 | − | 3.56602i | −0.0756144 | − | 0.380139i | ||||
\(89\) | −3.47194 | + | 3.47194i | −0.368025 | + | 0.368025i | −0.866756 | − | 0.498732i | \(-0.833799\pi\) |
0.498732 | + | 0.866756i | \(0.333799\pi\) | |||||||
\(90\) | −5.14317 | − | 7.46402i | −0.542137 | − | 0.786777i | ||||
\(91\) | 3.09992 | + | 4.63936i | 0.324960 | + | 0.486337i | ||||
\(92\) | −1.72035 | + | 1.14950i | −0.179359 | + | 0.119844i | ||||
\(93\) | 5.51161 | − | 13.3062i | 0.571528 | − | 1.37979i | ||||
\(94\) | 1.32737 | − | 0.549814i | 0.136908 | − | 0.0567090i | ||||
\(95\) | 7.22897 | − | 11.1611i | 0.741676 | − | 1.14511i | ||||
\(96\) | 2.20829 | − | 1.47553i | 0.225383 | − | 0.150596i | ||||
\(97\) | −1.67183 | − | 1.11708i | −0.169749 | − | 0.113423i | 0.467794 | − | 0.883838i | \(-0.345049\pi\) |
−0.637543 | + | 0.770415i | \(0.720049\pi\) | |||||||
\(98\) | − | 4.41923i | − | 0.446410i | ||||||
\(99\) | 8.18850 | − | 12.2550i | 0.822975 | − | 1.23167i | ||||
\(100\) | −4.56280 | + | 2.04471i | −0.456280 | + | 0.204471i | ||||
\(101\) | 9.43783i | 0.939099i | 0.882906 | + | 0.469550i | \(0.155584\pi\) | ||||
−0.882906 | + | 0.469550i | \(0.844416\pi\) | |||||||
\(102\) | 9.75558 | − | 4.97414i | 0.965947 | − | 0.492513i | ||||
\(103\) | −4.20253 | + | 4.20253i | −0.414087 | + | 0.414087i | −0.883160 | − | 0.469073i | \(-0.844588\pi\) |
0.469073 | + | 0.883160i | \(0.344588\pi\) | |||||||
\(104\) | 3.20887 | + | 1.32916i | 0.314656 | + | 0.130335i | ||||
\(105\) | 7.85600 | − | 5.41326i | 0.766667 | − | 0.528280i | ||||
\(106\) | −5.80899 | − | 5.80899i | −0.564219 | − | 0.564219i | ||||
\(107\) | −7.54818 | + | 11.2966i | −0.729710 | + | 1.09209i | 0.262184 | + | 0.965018i | \(0.415557\pi\) |
−0.991894 | + | 0.127070i | \(0.959443\pi\) | |||||||
\(108\) | 2.74482 | + | 0.545980i | 0.264121 | + | 0.0525369i | ||||
\(109\) | 9.32519 | + | 1.85490i | 0.893191 | + | 0.177667i | 0.620287 | − | 0.784375i | \(-0.287016\pi\) |
0.272904 | + | 0.962041i | \(0.412016\pi\) | |||||||
\(110\) | −5.83044 | − | 5.66606i | −0.555911 | − | 0.540237i | ||||
\(111\) | −5.64631 | − | 13.6314i | −0.535924 | − | 1.29383i | ||||
\(112\) | 0.892510 | + | 1.33574i | 0.0843343 | + | 0.126215i | ||||
\(113\) | −3.89058 | + | 19.5593i | −0.365995 | + | 1.83998i | 0.156937 | + | 0.987609i | \(0.449838\pi\) |
−0.522932 | + | 0.852374i | \(0.675162\pi\) | |||||||
\(114\) | 3.08132 | + | 15.4908i | 0.288592 | + | 1.45085i | ||||
\(115\) | −1.70920 | + | 4.29923i | −0.159384 | + | 0.400906i | ||||
\(116\) | −3.47152 | − | 2.31960i | −0.322322 | − | 0.215369i | ||||
\(117\) | 5.38806 | + | 13.0079i | 0.498126 | + | 1.20258i | ||||
\(118\) | 2.19460 | + | 2.19460i | 0.202029 | + | 0.202029i | ||||
\(119\) | 3.00873 | + | 5.90090i | 0.275810 | + | 0.540934i | ||||
\(120\) | 2.19398 | − | 5.51862i | 0.200282 | − | 0.503778i | ||||
\(121\) | 0.849425 | − | 2.05069i | 0.0772204 | − | 0.186427i | ||||
\(122\) | −14.2603 | + | 2.83655i | −1.29107 | + | 0.256809i | ||||
\(123\) | −30.1040 | −2.71439 | ||||||||
\(124\) | 5.31867 | − | 1.05795i | 0.477631 | − | 0.0950067i | ||||
\(125\) | −5.80713 | + | 9.55391i | −0.519406 | + | 0.854528i | ||||
\(126\) | −1.27047 | + | 6.38710i | −0.113183 | + | 0.569008i | ||||
\(127\) | 6.65893 | + | 2.75822i | 0.590885 | + | 0.244752i | 0.658031 | − | 0.752991i | \(-0.271389\pi\) |
−0.0671465 | + | 0.997743i | \(0.521389\pi\) | |||||||
\(128\) | 0.923880 | + | 0.382683i | 0.0816602 | + | 0.0338248i | ||||
\(129\) | 2.71385 | − | 13.6435i | 0.238941 | − | 1.20124i | ||||
\(130\) | 7.59477 | − | 1.62391i | 0.666106 | − | 0.142426i | ||||
\(131\) | −6.51122 | + | 1.29516i | −0.568888 | + | 0.113159i | −0.471150 | − | 0.882053i | \(-0.656161\pi\) |
−0.0977383 | + | 0.995212i | \(0.531161\pi\) | |||||||
\(132\) | 9.65650 | 0.840490 | ||||||||
\(133\) | −9.37000 | + | 1.86381i | −0.812482 | + | 0.161613i | ||||
\(134\) | 0.151734 | − | 0.366318i | 0.0131078 | − | 0.0316451i | ||||
\(135\) | 5.74668 | − | 2.47719i | 0.494595 | − | 0.213203i | ||||
\(136\) | 3.59795 | + | 2.01363i | 0.308522 | + | 0.172668i | ||||
\(137\) | 5.32839 | + | 5.32839i | 0.455235 | + | 0.455235i | 0.897088 | − | 0.441852i | \(-0.145679\pi\) |
−0.441852 | + | 0.897088i | \(0.645679\pi\) | |||||||
\(138\) | −2.10290 | − | 5.07686i | −0.179011 | − | 0.432171i | ||||
\(139\) | −15.6578 | − | 10.4622i | −1.32808 | − | 0.887393i | −0.329686 | − | 0.944091i | \(-0.606943\pi\) |
−0.998391 | + | 0.0566979i | \(0.981943\pi\) | |||||||
\(140\) | 3.33807 | + | 1.32708i | 0.282118 | + | 0.112159i | ||||
\(141\) | 0.744426 | + | 3.74248i | 0.0626920 | + | 0.315174i | ||||
\(142\) | −2.94778 | + | 14.8195i | −0.247372 | + | 1.24362i | ||||
\(143\) | 7.01595 | + | 10.5001i | 0.586703 | + | 0.878063i | ||||
\(144\) | 1.55130 | + | 3.74516i | 0.129275 | + | 0.312097i | ||||
\(145\) | −9.33499 | + | 0.133479i | −0.775229 | + | 0.0110848i | ||||
\(146\) | 3.24202 | + | 0.644878i | 0.268312 | + | 0.0533705i | ||||
\(147\) | 11.5115 | + | 2.28977i | 0.949450 | + | 0.188857i | ||||
\(148\) | 3.08641 | − | 4.61914i | 0.253702 | − | 0.379691i | ||||
\(149\) | 12.9817 | + | 12.9817i | 1.06350 | + | 1.06350i | 0.997842 | + | 0.0656569i | \(0.0209143\pi\) |
0.0656569 | + | 0.997842i | \(0.479086\pi\) | |||||||
\(150\) | −2.96202 | − | 12.9449i | −0.241848 | − | 1.05694i | ||||
\(151\) | −0.378610 | − | 0.156826i | −0.0308109 | − | 0.0127623i | 0.367225 | − | 0.930132i | \(-0.380308\pi\) |
−0.398036 | + | 0.917370i | \(0.630308\pi\) | |||||||
\(152\) | −4.20510 | + | 4.20510i | −0.341079 | + | 0.341079i | ||||
\(153\) | 4.54133 | + | 16.0852i | 0.367145 | + | 1.30041i | ||||
\(154\) | 5.84096i | 0.470678i | ||||||||
\(155\) | 8.45085 | − | 8.69603i | 0.678789 | − | 0.698482i | ||||
\(156\) | −5.12490 | + | 7.66996i | −0.410321 | + | 0.614088i | ||||
\(157\) | − | 15.7933i | − | 1.26044i | −0.776417 | − | 0.630220i | \(-0.782965\pi\) | ||
0.776417 | − | 0.630220i | \(-0.217035\pi\) | |||||||
\(158\) | 13.4603 | + | 8.99386i | 1.07084 | + | 0.715513i | ||||
\(159\) | 18.1414 | − | 12.1217i | 1.43871 | − | 0.961314i | ||||
\(160\) | 2.18664 | − | 0.467546i | 0.172869 | − | 0.0369628i | ||||
\(161\) | 3.07086 | − | 1.27199i | 0.242018 | − | 0.100247i | ||||
\(162\) | 1.80950 | − | 4.36851i | 0.142167 | − | 0.343223i | ||||
\(163\) | −7.16436 | + | 4.78707i | −0.561156 | + | 0.374952i | −0.803561 | − | 0.595223i | \(-0.797064\pi\) |
0.242405 | + | 0.970175i | \(0.422064\pi\) | |||||||
\(164\) | −6.29729 | − | 9.42456i | −0.491736 | − | 0.735934i | ||||
\(165\) | 17.7802 | − | 12.2517i | 1.38419 | − | 0.953790i | ||||
\(166\) | −4.45636 | + | 4.45636i | −0.345881 | + | 0.345881i | ||||
\(167\) | 1.78233 | + | 8.96036i | 0.137921 | + | 0.693373i | 0.986429 | + | 0.164191i | \(0.0525013\pi\) |
−0.848508 | + | 0.529182i | \(0.822499\pi\) | |||||||
\(168\) | −3.94184 | + | 1.63276i | −0.304120 | + | 0.125970i | ||||
\(169\) | 0.936468 | 0.0720360 | ||||||||
\(170\) | 9.17960 | − | 0.857250i | 0.704043 | − | 0.0657480i | ||||
\(171\) | −24.1072 | −1.84352 | ||||||||
\(172\) | 4.83901 | − | 2.00438i | 0.368971 | − | 0.152833i | ||||
\(173\) | −0.622963 | − | 3.13185i | −0.0473630 | − | 0.238110i | 0.949851 | − | 0.312703i | \(-0.101234\pi\) |
−0.997214 | + | 0.0745927i | \(0.976234\pi\) | |||||||
\(174\) | 7.84093 | − | 7.84093i | 0.594420 | − | 0.594420i | ||||
\(175\) | 7.83001 | − | 1.79165i | 0.591893 | − | 0.135436i | ||||
\(176\) | 2.01999 | + | 3.02313i | 0.152262 | + | 0.227877i | ||||
\(177\) | −6.85372 | + | 4.57951i | −0.515157 | + | 0.344217i | ||||
\(178\) | 1.87900 | − | 4.53631i | 0.140837 | − | 0.340010i | ||||
\(179\) | 7.13628 | − | 2.95594i | 0.533390 | − | 0.220938i | −0.0996970 | − | 0.995018i | \(-0.531787\pi\) |
0.633087 | + | 0.774080i | \(0.281787\pi\) | |||||||
\(180\) | 7.60802 | + | 4.92765i | 0.567069 | + | 0.367286i | ||||
\(181\) | 13.5482 | − | 9.05259i | 1.00703 | − | 0.672874i | 0.0613952 | − | 0.998114i | \(-0.480445\pi\) |
0.945632 | + | 0.325240i | \(0.105445\pi\) | |||||||
\(182\) | −4.63936 | − | 3.09992i | −0.343892 | − | 0.229781i | ||||
\(183\) | − | 38.6157i | − | 2.85456i | ||||||
\(184\) | 1.14950 | − | 1.72035i | 0.0847423 | − | 0.126826i | ||||
\(185\) | −0.177605 | − | 12.4210i | −0.0130578 | − | 0.913208i | ||||
\(186\) | 14.4025i | 1.05605i | ||||||||
\(187\) | 6.80955 | + | 13.3553i | 0.497964 | + | 0.976636i | ||||
\(188\) | −1.01592 | + | 1.01592i | −0.0740939 | + | 0.0740939i | ||||
\(189\) | −4.15365 | − | 1.72050i | −0.302134 | − | 0.125148i | ||||
\(190\) | −2.40752 | + | 13.0779i | −0.174660 | + | 0.948774i | ||||
\(191\) | 1.57174 | + | 1.57174i | 0.113727 | + | 0.113727i | 0.761680 | − | 0.647953i | \(-0.224375\pi\) |
−0.647953 | + | 0.761680i | \(0.724375\pi\) | |||||||
\(192\) | −1.47553 | + | 2.20829i | −0.106487 | + | 0.159370i | ||||
\(193\) | −6.72471 | − | 1.33763i | −0.484055 | − | 0.0962845i | −0.0529705 | − | 0.998596i | \(-0.516869\pi\) |
−0.431084 | + | 0.902312i | \(0.641869\pi\) | |||||||
\(194\) | 1.97206 | + | 0.392268i | 0.141586 | + | 0.0281632i | ||||
\(195\) | 0.294908 | + | 20.6247i | 0.0211188 | + | 1.47696i | ||||
\(196\) | 1.69117 | + | 4.08284i | 0.120798 | + | 0.291631i | ||||
\(197\) | −6.49763 | − | 9.72440i | −0.462937 | − | 0.692835i | 0.524400 | − | 0.851472i | \(-0.324290\pi\) |
−0.987337 | + | 0.158638i | \(0.949290\pi\) | |||||||
\(198\) | −2.87542 | + | 14.4557i | −0.204347 | + | 1.02732i | ||||
\(199\) | 2.74607 | + | 13.8054i | 0.194663 | + | 0.978639i | 0.947335 | + | 0.320243i | \(0.103765\pi\) |
−0.752672 | + | 0.658396i | \(0.771235\pi\) | |||||||
\(200\) | 3.43300 | − | 3.63518i | 0.242750 | − | 0.257046i | ||||
\(201\) | 0.875587 | + | 0.585048i | 0.0617591 | + | 0.0412661i | ||||
\(202\) | −3.61170 | − | 8.71942i | −0.254118 | − | 0.613496i | ||||
\(203\) | 4.74277 | + | 4.74277i | 0.332877 | + | 0.332877i | ||||
\(204\) | −7.10946 | + | 8.32881i | −0.497762 | + | 0.583133i | ||||
\(205\) | −23.5524 | − | 9.36350i | −1.64497 | − | 0.653975i | ||||
\(206\) | 2.27439 | − | 5.49086i | 0.158464 | − | 0.382567i | ||||
\(207\) | 8.22621 | − | 1.63629i | 0.571761 | − | 0.113730i | ||||
\(208\) | −3.47326 | −0.240827 | ||||||||
\(209\) | −21.2068 | + | 4.21830i | −1.46691 | + | 0.291786i | ||||
\(210\) | −5.18643 | + | 8.00756i | −0.357898 | + | 0.552574i | ||||
\(211\) | −1.20610 | + | 6.06350i | −0.0830317 | + | 0.417428i | 0.916805 | + | 0.399336i | \(0.130759\pi\) |
−0.999836 | + | 0.0180924i | \(0.994241\pi\) | |||||||
\(212\) | 7.58981 | + | 3.14380i | 0.521270 | + | 0.215917i | ||||
\(213\) | −37.0753 | − | 15.3571i | −2.54036 | − | 1.05225i | ||||
\(214\) | 2.65057 | − | 13.3253i | 0.181189 | − | 0.910899i | ||||
\(215\) | 6.36687 | − | 9.83009i | 0.434217 | − | 0.670406i | ||||
\(216\) | −2.74482 | + | 0.545980i | −0.186762 | + | 0.0371492i | ||||
\(217\) | −8.71172 | −0.591390 | ||||||||
\(218\) | −9.32519 | + | 1.85490i | −0.631582 | + | 0.125629i | ||||
\(219\) | −3.35963 | + | 8.11086i | −0.227023 | + | 0.548081i | ||||
\(220\) | 7.55493 | + | 3.00354i | 0.509353 | + | 0.202499i | ||||
\(221\) | −14.2218 | − | 1.67925i | −0.956663 | − | 0.112958i | ||||
\(222\) | 10.4330 | + | 10.4330i | 0.700218 | + | 0.700218i | ||||
\(223\) | 4.21177 | + | 10.1681i | 0.282041 | + | 0.680907i | 0.999883 | − | 0.0152988i | \(-0.00486996\pi\) |
−0.717842 | + | 0.696206i | \(0.754870\pi\) | |||||||
\(224\) | −1.33574 | − | 0.892510i | −0.0892476 | − | 0.0596333i | ||||
\(225\) | 20.2604 | − | 0.579517i | 1.35069 | − | 0.0386344i | ||||
\(226\) | −3.89058 | − | 19.5593i | −0.258798 | − | 1.30106i | ||||
\(227\) | 0.864666 | − | 4.34697i | 0.0573899 | − | 0.288519i | −0.941423 | − | 0.337228i | \(-0.890511\pi\) |
0.998813 | + | 0.0487092i | \(0.0155108\pi\) | |||||||
\(228\) | −8.77485 | − | 13.1325i | −0.581129 | − | 0.869721i | ||||
\(229\) | −0.0300817 | − | 0.0726235i | −0.00198785 | − | 0.00479910i | 0.922882 | − | 0.385082i | \(-0.125827\pi\) |
−0.924870 | + | 0.380283i | \(0.875827\pi\) | |||||||
\(230\) | −0.0661470 | − | 4.62606i | −0.00436161 | − | 0.305033i | ||||
\(231\) | −15.2149 | − | 3.02642i | −1.00106 | − | 0.199124i | ||||
\(232\) | 4.09494 | + | 0.814533i | 0.268846 | + | 0.0534767i | ||||
\(233\) | 4.43713 | − | 6.64063i | 0.290686 | − | 0.435042i | −0.657170 | − | 0.753743i | \(-0.728246\pi\) |
0.947855 | + | 0.318701i | \(0.103246\pi\) | |||||||
\(234\) | −9.95583 | − | 9.95583i | −0.650833 | − | 0.650833i | ||||
\(235\) | −0.581640 | + | 3.15954i | −0.0379420 | + | 0.206106i | ||||
\(236\) | −2.86738 | − | 1.18771i | −0.186651 | − | 0.0773133i | ||||
\(237\) | −30.4020 | + | 30.4020i | −1.97482 | + | 1.97482i | ||||
\(238\) | −5.03788 | − | 4.30033i | −0.326557 | − | 0.278749i | ||||
\(239\) | 0.721014i | 0.0466385i | 0.999728 | + | 0.0233193i | \(0.00742342\pi\) | ||||
−0.999728 | + | 0.0233193i | \(0.992577\pi\) | |||||||
\(240\) | 0.0849082 | + | 5.93814i | 0.00548080 | + | 0.383305i | ||||
\(241\) | −6.85427 | + | 10.2581i | −0.441522 | + | 0.660785i | −0.983770 | − | 0.179434i | \(-0.942573\pi\) |
0.542248 | + | 0.840219i | \(0.317573\pi\) | |||||||
\(242\) | 2.21965i | 0.142685i | ||||||||
\(243\) | 17.4226 | + | 11.6414i | 1.11766 | + | 0.746797i | ||||
\(244\) | 12.0893 | − | 8.07781i | 0.773938 | − | 0.517129i | ||||
\(245\) | 8.29399 | + | 5.37195i | 0.529884 | + | 0.343201i | ||||
\(246\) | 27.8125 | − | 11.5203i | 1.77326 | − | 0.734508i | ||||
\(247\) | 7.90439 | − | 19.0829i | 0.502944 | − | 1.21421i | ||||
\(248\) | −4.50895 | + | 3.01279i | −0.286319 | + | 0.191312i | ||||
\(249\) | −9.29916 | − | 13.9172i | −0.589310 | − | 0.881965i | ||||
\(250\) | 1.70897 | − | 11.0490i | 0.108084 | − | 0.698797i | ||||
\(251\) | 9.36064 | − | 9.36064i | 0.590838 | − | 0.590838i | −0.347020 | − | 0.937858i | \(-0.612806\pi\) |
0.937858 | + | 0.347020i | \(0.112806\pi\) | |||||||
\(252\) | −1.27047 | − | 6.38710i | −0.0800322 | − | 0.402349i | ||||
\(253\) | 6.95018 | − | 2.87886i | 0.436954 | − | 0.180992i | ||||
\(254\) | −7.20758 | −0.452244 | ||||||||
\(255\) | −2.52329 | + | 24.3557i | −0.158014 | + | 1.52521i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | 4.15967 | − | 1.72299i | 0.259473 | − | 0.107477i | −0.249155 | − | 0.968464i | \(-0.580153\pi\) |
0.508628 | + | 0.860986i | \(0.330153\pi\) | |||||||
\(258\) | 2.71385 | + | 13.6435i | 0.168957 | + | 0.849404i | ||||
\(259\) | −6.31065 | + | 6.31065i | −0.392125 | + | 0.392125i | ||||
\(260\) | −6.39521 | + | 4.40669i | −0.396614 | + | 0.273291i | ||||
\(261\) | 9.40302 | + | 14.0726i | 0.582032 | + | 0.871073i | ||||
\(262\) | 5.51995 | − | 3.68831i | 0.341023 | − | 0.227865i | ||||
\(263\) | 1.54344 | − | 3.72618i | 0.0951724 | − | 0.229766i | −0.869123 | − | 0.494596i | \(-0.835316\pi\) |
0.964295 | + | 0.264830i | \(0.0853159\pi\) | |||||||
\(264\) | −8.92144 | + | 3.69538i | −0.549077 | + | 0.227435i | ||||
\(265\) | 17.9636 | − | 3.84096i | 1.10349 | − | 0.235948i | ||||
\(266\) | 7.94350 | − | 5.30768i | 0.487047 | − | 0.325435i | ||||
\(267\) | 10.8428 | + | 7.24495i | 0.663571 | + | 0.443384i | ||||
\(268\) | 0.396500i | 0.0242201i | ||||||||
\(269\) | −5.06374 | + | 7.57842i | −0.308741 | + | 0.462064i | −0.953098 | − | 0.302661i | \(-0.902125\pi\) |
0.644357 | + | 0.764725i | \(0.277125\pi\) | |||||||
\(270\) | −4.36126 | + | 4.48779i | −0.265418 | + | 0.273118i | ||||
\(271\) | − | 16.0423i | − | 0.974499i | −0.873263 | − | 0.487249i | \(-0.838000\pi\) | ||
0.873263 | − | 0.487249i | \(-0.162000\pi\) | |||||||
\(272\) | −4.09466 | − | 0.483478i | −0.248275 | − | 0.0293152i | ||||
\(273\) | 10.4787 | − | 10.4787i | 0.634198 | − | 0.634198i | ||||
\(274\) | −6.96188 | − | 2.88371i | −0.420583 | − | 0.174211i | ||||
\(275\) | 17.7214 | − | 4.05497i | 1.06864 | − | 0.244524i | ||||
\(276\) | 3.88566 | + | 3.88566i | 0.233889 | + | 0.233889i | ||||
\(277\) | 12.6202 | − | 18.8874i | 0.758272 | − | 1.13483i | −0.228629 | − | 0.973514i | \(-0.573424\pi\) |
0.986902 | − | 0.161321i | \(-0.0515756\pi\) | |||||||
\(278\) | 18.4696 | + | 3.67384i | 1.10773 | + | 0.220342i | ||||
\(279\) | −21.5605 | − | 4.28865i | −1.29079 | − | 0.256755i | ||||
\(280\) | −3.59182 | + | 0.0513587i | −0.214652 | + | 0.00306927i | ||||
\(281\) | −3.11925 | − | 7.53054i | −0.186079 | − | 0.449235i | 0.803119 | − | 0.595818i | \(-0.203172\pi\) |
−0.989198 | + | 0.146584i | \(0.953172\pi\) | |||||||
\(282\) | −2.11995 | − | 3.17272i | −0.126241 | − | 0.188933i | ||||
\(283\) | −3.63237 | + | 18.2612i | −0.215922 | + | 1.08551i | 0.708957 | + | 0.705252i | \(0.249166\pi\) |
−0.924879 | + | 0.380261i | \(0.875834\pi\) | |||||||
\(284\) | −2.94778 | − | 14.8195i | −0.174919 | − | 0.879375i | ||||
\(285\) | −32.8187 | − | 13.0474i | −1.94401 | − | 0.772862i | ||||
\(286\) | −10.5001 | − | 7.01595i | −0.620884 | − | 0.414862i | ||||
\(287\) | 6.96833 | + | 16.8230i | 0.411327 | + | 0.993032i | ||||
\(288\) | −2.86642 | − | 2.86642i | −0.168906 | − | 0.168906i | ||||
\(289\) | −16.5325 | − | 3.95936i | −0.972500 | − | 0.232903i | ||||
\(290\) | 8.57333 | − | 3.69566i | 0.503443 | − | 0.217017i | ||||
\(291\) | −2.04360 | + | 4.93369i | −0.119798 | + | 0.289218i | ||||
\(292\) | −3.24202 | + | 0.644878i | −0.189725 | + | 0.0377387i | ||||
\(293\) | 19.8193 | 1.15786 | 0.578929 | − | 0.815378i | \(-0.303471\pi\) | ||||
0.578929 | + | 0.815378i | \(0.303471\pi\) | |||||||
\(294\) | −11.5115 | + | 2.28977i | −0.671362 | + | 0.133542i | ||||
\(295\) | −6.78654 | + | 1.45109i | −0.395127 | + | 0.0844859i | ||||
\(296\) | −1.08380 | + | 5.44865i | −0.0629948 | + | 0.316696i | ||||
\(297\) | −9.40083 | − | 3.89395i | −0.545491 | − | 0.225950i | ||||
\(298\) | −16.9614 | − | 7.02562i | −0.982545 | − | 0.406984i | ||||
\(299\) | −1.40198 | + | 7.04825i | −0.0810789 | + | 0.407611i | ||||
\(300\) | 7.69034 | + | 10.8260i | 0.444002 | + | 0.625039i | ||||
\(301\) | −8.25256 | + | 1.64154i | −0.475670 | + | 0.0946166i | ||||
\(302\) | 0.409805 | 0.0235816 | ||||||||
\(303\) | 24.5842 | − | 4.89010i | 1.41232 | − | 0.280929i | ||||
\(304\) | 2.27578 | − | 5.49423i | 0.130525 | − | 0.315116i | ||||
\(305\) | 12.0110 | − | 30.2117i | 0.687747 | − | 1.72992i | ||||
\(306\) | −10.3512 | − | 13.1229i | −0.591737 | − | 0.750185i | ||||
\(307\) | −7.70417 | − | 7.70417i | −0.439700 | − | 0.439700i | 0.452211 | − | 0.891911i | \(-0.350635\pi\) |
−0.891911 | + | 0.452211i | \(0.850635\pi\) | |||||||
\(308\) | −2.23524 | − | 5.39634i | −0.127365 | − | 0.307485i | ||||
\(309\) | 13.1245 | + | 8.76948i | 0.746624 | + | 0.498878i | ||||
\(310\) | −4.47974 | + | 11.2681i | −0.254432 | + | 0.639984i | ||||
\(311\) | 2.13288 | + | 10.7227i | 0.120944 | + | 0.608029i | 0.992950 | + | 0.118533i | \(0.0378191\pi\) |
−0.872006 | + | 0.489496i | \(0.837181\pi\) | |||||||
\(312\) | 1.79963 | − | 9.04734i | 0.101884 | − | 0.512205i | ||||
\(313\) | −3.21682 | − | 4.81431i | −0.181825 | − | 0.272121i | 0.729349 | − | 0.684142i | \(-0.239823\pi\) |
−0.911174 | + | 0.412021i | \(0.864823\pi\) | |||||||
\(314\) | 6.04382 | + | 14.5911i | 0.341073 | + | 0.823422i | ||||
\(315\) | −10.4429 | − | 10.1485i | −0.588391 | − | 0.571801i | ||||
\(316\) | −15.8775 | − | 3.15822i | −0.893177 | − | 0.177664i | ||||
\(317\) | 0.112281 | + | 0.0223341i | 0.00630633 | + | 0.00125441i | 0.198242 | − | 0.980153i | \(-0.436477\pi\) |
−0.191936 | + | 0.981407i | \(0.561477\pi\) | |||||||
\(318\) | −12.1217 | + | 18.1414i | −0.679752 | + | 1.01732i | ||||
\(319\) | 10.7342 | + | 10.7342i | 0.600998 | + | 0.600998i | ||||
\(320\) | −1.84127 | + | 1.26875i | −0.102930 | + | 0.0709252i | ||||
\(321\) | 33.3371 | + | 13.8087i | 1.86070 | + | 0.770726i | ||||
\(322\) | −2.35033 | + | 2.35033i | −0.130979 | + | 0.130979i | ||||
\(323\) | 11.9749 | − | 21.3967i | 0.666301 | − | 1.19054i | ||||
\(324\) | 4.72844i | 0.262691i | ||||||||
\(325\) | −6.18434 | + | 16.2278i | −0.343046 | + | 0.900158i | ||||
\(326\) | 4.78707 | − | 7.16436i | 0.265131 | − | 0.396797i | ||||
\(327\) | − | 25.2519i | − | 1.39643i | ||||||
\(328\) | 9.42456 | + | 6.29729i | 0.520384 | + | 0.347710i | ||||
\(329\) | 1.91910 | − | 1.28230i | 0.105803 | − | 0.0706955i | ||||
\(330\) | −11.7383 | + | 18.1233i | −0.646171 | + | 0.997652i | ||||
\(331\) | −26.2403 | + | 10.8691i | −1.44230 | + | 0.597419i | −0.960354 | − | 0.278784i | \(-0.910069\pi\) |
−0.481942 | + | 0.876203i | \(0.660069\pi\) | |||||||
\(332\) | 2.41176 | − | 5.82251i | 0.132363 | − | 0.319552i | ||||
\(333\) | −18.7248 | + | 12.5115i | −1.02611 | + | 0.685626i | ||||
\(334\) | −5.07563 | − | 7.59622i | −0.277726 | − | 0.415647i | ||||
\(335\) | 0.503059 | + | 0.730064i | 0.0274850 | + | 0.0398877i | ||||
\(336\) | 3.01695 | − | 3.01695i | 0.164588 | − | 0.164588i | ||||
\(337\) | 6.09727 | + | 30.6530i | 0.332139 | + | 1.66978i | 0.680754 | + | 0.732512i | \(0.261652\pi\) |
−0.348615 | + | 0.937266i | \(0.613348\pi\) | |||||||
\(338\) | −0.865184 | + | 0.358371i | −0.0470598 | + | 0.0194928i | ||||
\(339\) | 52.9650 | 2.87666 | ||||||||
\(340\) | −8.15279 | + | 4.30488i | −0.442147 | + | 0.233465i | ||||
\(341\) | −19.7169 | −1.06773 | ||||||||
\(342\) | 22.2721 | − | 9.22542i | 1.20434 | − | 0.498854i | ||||
\(343\) | −3.57888 | − | 17.9922i | −0.193241 | − | 0.971490i | ||||
\(344\) | −3.70361 | + | 3.70361i | −0.199685 | + | 0.199685i | ||||
\(345\) | 12.0845 | + | 2.22463i | 0.650606 | + | 0.119770i | ||||
\(346\) | 1.77405 | + | 2.65505i | 0.0953735 | + | 0.142736i | ||||
\(347\) | 12.7280 | − | 8.50457i | 0.683274 | − | 0.456549i | −0.164870 | − | 0.986315i | \(-0.552720\pi\) |
0.848144 | + | 0.529766i | \(0.177720\pi\) | |||||||
\(348\) | −4.24348 | + | 10.2447i | −0.227475 | + | 0.549172i | ||||
\(349\) | 14.0645 | − | 5.82573i | 0.752858 | − | 0.311844i | 0.0269509 | − | 0.999637i | \(-0.491420\pi\) |
0.725907 | + | 0.687793i | \(0.241420\pi\) | |||||||
\(350\) | −6.54836 | + | 4.65168i | −0.350024 | + | 0.248643i | ||||
\(351\) | 8.08210 | − | 5.40029i | 0.431391 | − | 0.288246i | ||||
\(352\) | −3.02313 | − | 2.01999i | −0.161133 | − | 0.107666i | ||||
\(353\) | 19.1306i | 1.01822i | 0.860701 | + | 0.509110i | \(0.170025\pi\) | ||||
−0.860701 | + | 0.509110i | \(0.829975\pi\) | |||||||
\(354\) | 4.57951 | − | 6.85372i | 0.243398 | − | 0.364271i | ||||
\(355\) | −24.2299 | − | 23.5467i | −1.28599 | − | 1.24973i | ||||
\(356\) | 4.91006i | 0.260233i | ||||||||
\(357\) | 13.8120 | − | 10.8948i | 0.731011 | − | 0.576613i | ||||
\(358\) | −5.46187 | + | 5.46187i | −0.288669 | + | 0.288669i | ||||
\(359\) | −22.7964 | − | 9.44258i | −1.20315 | − | 0.498360i | −0.311133 | − | 0.950366i | \(-0.600709\pi\) |
−0.892015 | + | 0.452006i | \(0.850709\pi\) | |||||||
\(360\) | −8.91463 | − | 1.64109i | −0.469842 | − | 0.0864932i | ||||
\(361\) | 11.5723 | + | 11.5723i | 0.609070 | + | 0.609070i | ||||
\(362\) | −9.05259 | + | 13.5482i | −0.475794 | + | 0.712075i | ||||
\(363\) | −5.78188 | − | 1.15009i | −0.303470 | − | 0.0603639i | ||||
\(364\) | 5.47250 | + | 1.08855i | 0.286837 | + | 0.0570554i | ||||
\(365\) | −5.15125 | + | 5.30070i | −0.269629 | + | 0.277452i | ||||
\(366\) | 14.7776 | + | 35.6763i | 0.772438 | + | 1.86483i | ||||
\(367\) | −1.10504 | − | 1.65382i | −0.0576829 | − | 0.0863285i | 0.801507 | − | 0.597985i | \(-0.204032\pi\) |
−0.859190 | + | 0.511657i | \(0.829032\pi\) | |||||||
\(368\) | −0.403651 | + | 2.02929i | −0.0210418 | + | 0.105784i | ||||
\(369\) | 8.96408 | + | 45.0655i | 0.466651 | + | 2.34601i | ||||
\(370\) | 4.91739 | + | 11.4075i | 0.255643 | + | 0.593049i | ||||
\(371\) | −10.9733 | − | 7.33211i | −0.569704 | − | 0.380664i | ||||
\(372\) | −5.51161 | − | 13.3062i | −0.285764 | − | 0.689895i | ||||
\(373\) | −13.1540 | − | 13.1540i | −0.681086 | − | 0.681086i | 0.279159 | − | 0.960245i | \(-0.409944\pi\) |
−0.960245 | + | 0.279159i | \(0.909944\pi\) | |||||||
\(374\) | −11.4021 | − | 9.73279i | −0.589587 | − | 0.503270i | ||||
\(375\) | 27.8954 | + | 10.1765i | 1.44051 | + | 0.525512i | ||||
\(376\) | 0.549814 | − | 1.32737i | 0.0283545 | − | 0.0684538i | ||||
\(377\) | −14.2228 | + | 2.82909i | −0.732510 | + | 0.145705i | ||||
\(378\) | 4.49588 | 0.231243 | ||||||||
\(379\) | 32.3617 | − | 6.43713i | 1.66231 | − | 0.330653i | 0.727580 | − | 0.686022i | \(-0.240645\pi\) |
0.934726 | + | 0.355369i | \(0.115645\pi\) | |||||||
\(380\) | −2.78045 | − | 13.0038i | −0.142634 | − | 0.667079i | ||||
\(381\) | 3.73452 | − | 18.7747i | 0.191325 | − | 0.961856i | ||||
\(382\) | −2.05358 | − | 0.850619i | −0.105070 | − | 0.0435214i | ||||
\(383\) | 32.9607 | + | 13.6528i | 1.68421 | + | 0.697624i | 0.999513 | − | 0.0312000i | \(-0.00993290\pi\) |
0.684701 | + | 0.728824i | \(0.259933\pi\) | |||||||
\(384\) | 0.518138 | − | 2.60485i | 0.0264411 | − | 0.132928i | ||||
\(385\) | −10.9623 | − | 7.10018i | −0.558690 | − | 0.361859i | ||||
\(386\) | 6.72471 | − | 1.33763i | 0.342279 | − | 0.0680834i | ||||
\(387\) | −21.2323 | −1.07930 | ||||||||
\(388\) | −1.97206 | + | 0.392268i | −0.100116 | + | 0.0199144i | ||||
\(389\) | −6.47393 | + | 15.6295i | −0.328241 | + | 0.792445i | 0.670482 | + | 0.741926i | \(0.266087\pi\) |
−0.998723 | + | 0.0505188i | \(0.983913\pi\) | |||||||
\(390\) | −8.16519 | − | 18.9419i | −0.413460 | − | 0.959159i | ||||
\(391\) | −2.63393 | + | 8.11410i | −0.133204 | + | 0.410348i | ||||
\(392\) | −3.12487 | − | 3.12487i | −0.157830 | − | 0.157830i | ||||
\(393\) | 6.74742 | + | 16.2897i | 0.340362 | + | 0.821707i | ||||
\(394\) | 9.72440 | + | 6.49763i | 0.489908 | + | 0.327346i | ||||
\(395\) | −33.2417 | + | 14.3294i | −1.67257 | + | 0.720988i | ||||
\(396\) | −2.87542 | − | 14.4557i | −0.144495 | − | 0.726426i | ||||
\(397\) | 0.858028 | − | 4.31360i | 0.0430632 | − | 0.216493i | −0.953262 | − | 0.302145i | \(-0.902297\pi\) |
0.996325 | + | 0.0856518i | \(0.0272973\pi\) | |||||||
\(398\) | −7.82013 | − | 11.7037i | −0.391988 | − | 0.586651i | ||||
\(399\) | 9.70990 | + | 23.4418i | 0.486103 | + | 1.17356i | ||||
\(400\) | −1.78056 | + | 4.67222i | −0.0890279 | + | 0.233611i | ||||
\(401\) | 23.2855 | + | 4.63178i | 1.16282 | + | 0.231300i | 0.738527 | − | 0.674223i | \(-0.235522\pi\) |
0.424296 | + | 0.905523i | \(0.360522\pi\) | |||||||
\(402\) | −1.03283 | − | 0.205442i | −0.0515126 | − | 0.0102465i | ||||
\(403\) | 10.4642 | − | 15.6608i | 0.521258 | − | 0.780118i | ||||
\(404\) | 6.67355 | + | 6.67355i | 0.332022 | + | 0.332022i | ||||
\(405\) | 5.99920 | + | 8.70634i | 0.298103 | + | 0.432622i | ||||
\(406\) | −6.19673 | − | 2.56677i | −0.307539 | − | 0.127387i | ||||
\(407\) | −14.2827 | + | 14.2827i | −0.707967 | + | 0.707967i | ||||
\(408\) | 3.38099 | − | 10.4155i | 0.167384 | − | 0.515644i | ||||
\(409\) | 13.2242i | 0.653894i | 0.945043 | + | 0.326947i | \(0.106020\pi\) | ||||
−0.945043 | + | 0.326947i | \(0.893980\pi\) | |||||||
\(410\) | 25.3428 | − | 0.362372i | 1.25159 | − | 0.0178963i | ||||
\(411\) | 11.1188 | − | 16.6405i | 0.548452 | − | 0.820817i | ||||
\(412\) | 5.94327i | 0.292804i | ||||||||
\(413\) | 4.14564 | + | 2.77003i | 0.203993 | + | 0.136304i | ||||
\(414\) | −6.97384 | + | 4.65977i | −0.342746 | + | 0.229015i | ||||
\(415\) | −2.94659 | − | 13.7807i | −0.144642 | − | 0.676470i | ||||
\(416\) | 3.20887 | − | 1.32916i | 0.157328 | − | 0.0651674i | ||||
\(417\) | −19.1396 | + | 46.2072i | −0.937272 | + | 2.26277i | ||||
\(418\) | 17.9783 | − | 12.0127i | 0.879346 | − | 0.587560i | ||||
\(419\) | −4.26857 | − | 6.38836i | −0.208533 | − | 0.312092i | 0.712429 | − | 0.701744i | \(-0.247595\pi\) |
−0.920962 | + | 0.389652i | \(0.872595\pi\) | |||||||
\(420\) | 1.72728 | − | 9.38279i | 0.0842825 | − | 0.457833i | ||||
\(421\) | −5.96878 | + | 5.96878i | −0.290901 | + | 0.290901i | −0.837436 | − | 0.546535i | \(-0.815946\pi\) |
0.546535 | + | 0.837436i | \(0.315946\pi\) | |||||||
\(422\) | −1.20610 | − | 6.06350i | −0.0587123 | − | 0.295166i | ||||
\(423\) | 5.38080 | − | 2.22880i | 0.261624 | − | 0.108368i | ||||
\(424\) | −8.21515 | −0.398963 | ||||||||
\(425\) | −9.54970 | + | 18.2703i | −0.463228 | + | 0.886239i | ||||
\(426\) | 40.1300 | 1.94430 | ||||||||
\(427\) | −21.5797 | + | 8.93859i | −1.04431 | + | 0.432568i | ||||
\(428\) | 2.65057 | + | 13.3253i | 0.128120 | + | 0.644103i | ||||
\(429\) | 23.7160 | − | 23.7160i | 1.14502 | − | 1.14502i | ||||
\(430\) | −2.12041 | + | 11.5183i | −0.102255 | + | 0.555462i | ||||
\(431\) | 4.82911 | + | 7.22727i | 0.232610 | + | 0.348125i | 0.929351 | − | 0.369197i | \(-0.120367\pi\) |
−0.696741 | + | 0.717323i | \(0.745367\pi\) | |||||||
\(432\) | 2.32695 | − | 1.55482i | 0.111955 | − | 0.0748062i | ||||
\(433\) | 2.36618 | − | 5.71245i | 0.113711 | − | 0.274523i | −0.856771 | − | 0.515698i | \(-0.827533\pi\) |
0.970482 | + | 0.241175i | \(0.0775327\pi\) | |||||||
\(434\) | 8.04858 | − | 3.33383i | 0.386344 | − | 0.160029i | ||||
\(435\) | 5.18450 | + | 24.2471i | 0.248578 | + | 1.16256i | ||||
\(436\) | 7.90551 | − | 5.28230i | 0.378605 | − | 0.252976i | ||||
\(437\) | −10.2308 | − | 6.83598i | −0.489404 | − | 0.327009i | ||||
\(438\) | − | 8.77913i | − | 0.419483i | ||||||
\(439\) | 9.38882 | − | 14.0514i | 0.448104 | − | 0.670635i | −0.536805 | − | 0.843706i | \(-0.680369\pi\) |
0.984909 | + | 0.173071i | \(0.0553690\pi\) | |||||||
\(440\) | −8.12925 | + | 0.116239i | −0.387547 | + | 0.00554145i | ||||
\(441\) | − | 17.9144i | − | 0.853067i | ||||||
\(442\) | 13.7819 | − | 3.89103i | 0.655537 | − | 0.185078i | ||||
\(443\) | 8.31892 | − | 8.31892i | 0.395244 | − | 0.395244i | −0.481308 | − | 0.876552i | \(-0.659838\pi\) |
0.876552 | + | 0.481308i | \(0.159838\pi\) | |||||||
\(444\) | −13.6314 | − | 5.64631i | −0.646917 | − | 0.267962i | ||||
\(445\) | 6.22963 | + | 9.04075i | 0.295313 | + | 0.428573i | ||||
\(446\) | −7.78234 | − | 7.78234i | −0.368504 | − | 0.368504i | ||||
\(447\) | 27.0891 | − | 40.5416i | 1.28127 | − | 1.91755i | ||||
\(448\) | 1.57561 | + | 0.313408i | 0.0744405 | + | 0.0148071i | ||||
\(449\) | −0.743527 | − | 0.147897i | −0.0350892 | − | 0.00697968i | 0.177515 | − | 0.984118i | \(-0.443194\pi\) |
−0.212604 | + | 0.977139i | \(0.568194\pi\) | |||||||
\(450\) | −18.4964 | + | 8.28872i | −0.871928 | + | 0.390734i | ||||
\(451\) | 15.7712 | + | 38.0750i | 0.742636 | + | 1.79288i | ||||
\(452\) | 11.0794 | + | 16.5816i | 0.521133 | + | 0.779931i | ||||
\(453\) | −0.212335 | + | 1.06748i | −0.00997639 | + | 0.0501547i | ||||
\(454\) | 0.864666 | + | 4.34697i | 0.0405808 | + | 0.204013i | ||||
\(455\) | 11.4574 | − | 4.93891i | 0.537133 | − | 0.231540i | ||||
\(456\) | 13.1325 | + | 8.77485i | 0.614985 | + | 0.410920i | ||||
\(457\) | −11.5518 | − | 27.8886i | −0.540372 | − | 1.30457i | −0.924461 | − | 0.381278i | \(-0.875484\pi\) |
0.384088 | − | 0.923296i | \(-0.374516\pi\) | |||||||
\(458\) | 0.0555836 | + | 0.0555836i | 0.00259725 | + | 0.00259725i | ||||
\(459\) | 10.2798 | − | 5.24142i | 0.479820 | − | 0.244649i | ||||
\(460\) | 1.83143 | + | 4.24861i | 0.0853907 | + | 0.198092i | ||||
\(461\) | 3.34439 | − | 8.07407i | 0.155764 | − | 0.376047i | −0.826663 | − | 0.562698i | \(-0.809763\pi\) |
0.982426 | + | 0.186651i | \(0.0597634\pi\) | |||||||
\(462\) | 15.2149 | − | 3.02642i | 0.707859 | − | 0.140802i | ||||
\(463\) | −15.9817 | −0.742734 | −0.371367 | − | 0.928486i | \(-0.621111\pi\) | ||||
−0.371367 | + | 0.928486i | \(0.621111\pi\) | |||||||
\(464\) | −4.09494 | + | 0.814533i | −0.190103 | + | 0.0378138i | ||||
\(465\) | −27.0306 | − | 17.5075i | −1.25351 | − | 0.811890i | ||||
\(466\) | −1.55811 | + | 7.83316i | −0.0721781 | + | 0.362864i | ||||
\(467\) | −38.5196 | − | 15.9553i | −1.78247 | − | 0.738325i | −0.992062 | − | 0.125751i | \(-0.959866\pi\) |
−0.790413 | − | 0.612574i | \(-0.790134\pi\) | |||||||
\(468\) | 13.0079 | + | 5.38806i | 0.601291 | + | 0.249063i | ||||
\(469\) | 0.124266 | − | 0.624729i | 0.00573808 | − | 0.0288473i | ||||
\(470\) | −0.671740 | − | 3.14162i | −0.0309850 | − | 0.144912i | ||||
\(471\) | −41.1392 | + | 8.18309i | −1.89559 | + | 0.377057i | ||||
\(472\) | 3.10363 | 0.142856 | ||||||||
\(473\) | −18.6778 | + | 3.71524i | −0.858804 | + | 0.170827i | ||||
\(474\) | 16.4534 | − | 39.7221i | 0.755731 | − | 1.82450i | ||||
\(475\) | −21.6181 | − | 20.4157i | −0.991905 | − | 0.936739i | ||||
\(476\) | 6.30005 | + | 2.04507i | 0.288763 | + | 0.0937357i | ||||
\(477\) | −23.5481 | − | 23.5481i | −1.07819 | − | 1.07819i | ||||
\(478\) | −0.275920 | − | 0.666130i | −0.0126203 | − | 0.0304681i | ||||
\(479\) | −33.7108 | − | 22.5249i | −1.54029 | − | 1.02919i | −0.979552 | − | 0.201191i | \(-0.935519\pi\) |
−0.560735 | − | 0.827995i | \(-0.689481\pi\) | |||||||
\(480\) | −2.35087 | − | 5.45363i | −0.107302 | − | 0.248923i | ||||
\(481\) | −3.76433 | − | 18.9246i | −0.171639 | − | 0.862887i | ||||
\(482\) | 2.40690 | − | 12.1003i | 0.109631 | − | 0.551154i | ||||
\(483\) | −4.90448 | − | 7.34008i | −0.223162 | − | 0.333985i | ||||
\(484\) | −0.849425 | − | 2.05069i | −0.0386102 | − | 0.0932133i | ||||
\(485\) | −3.13341 | + | 3.22432i | −0.142281 | + | 0.146409i | ||||
\(486\) | −20.5514 | − | 4.08792i | −0.932229 | − | 0.185432i | ||||
\(487\) | −16.0683 | − | 3.19619i | −0.728125 | − | 0.144833i | −0.182910 | − | 0.983130i | \(-0.558552\pi\) |
−0.545214 | + | 0.838297i | \(0.683552\pi\) | |||||||
\(488\) | −8.07781 | + | 12.0893i | −0.365665 | + | 0.547257i | ||||
\(489\) | 16.1818 | + | 16.1818i | 0.731764 | + | 0.731764i | ||||
\(490\) | −9.71841 | − | 1.78906i | −0.439033 | − | 0.0808216i | ||||
\(491\) | 34.9175 | + | 14.4633i | 1.57581 | + | 0.652720i | 0.987742 | − | 0.156095i | \(-0.0498906\pi\) |
0.588063 | + | 0.808815i | \(0.299891\pi\) | |||||||
\(492\) | −21.2867 | + | 21.2867i | −0.959680 | + | 0.959680i | ||||
\(493\) | −17.1612 | + | 1.35543i | −0.772901 | + | 0.0610453i | ||||
\(494\) | 20.6552i | 0.929320i | ||||||||
\(495\) | −23.6351 | − | 22.9687i | −1.06232 | − | 1.03237i | ||||
\(496\) | 3.01279 | − | 4.50895i | 0.135278 | − | 0.202458i | ||||
\(497\) | 24.2736i | 1.08882i | ||||||||
\(498\) | 13.9172 | + | 9.29916i | 0.623644 | + | 0.416705i | ||||
\(499\) | −24.3202 | + | 16.2502i | −1.08872 | + | 0.727460i | −0.964311 | − | 0.264771i | \(-0.914704\pi\) |
−0.124409 | + | 0.992231i | \(0.539704\pi\) | |||||||
\(500\) | 2.64937 | + | 10.8619i | 0.118484 | + | 0.485759i | ||||
\(501\) | 22.4169 | − | 9.28540i | 1.00151 | − | 0.414841i | ||||
\(502\) | −5.06594 | + | 12.2303i | −0.226104 | + | 0.545863i | ||||
\(503\) | 8.16470 | − | 5.45548i | 0.364046 | − | 0.243248i | −0.360071 | − | 0.932925i | \(-0.617248\pi\) |
0.724117 | + | 0.689677i | \(0.242248\pi\) | |||||||
\(504\) | 3.61800 | + | 5.41472i | 0.161159 | + | 0.241191i | ||||
\(505\) | 20.7549 | + | 3.82076i | 0.923580 | + | 0.170022i | ||||
\(506\) | −5.31943 | + | 5.31943i | −0.236478 | + | 0.236478i | ||||
\(507\) | −0.485219 | − | 2.43936i | −0.0215494 | − | 0.108336i | ||||
\(508\) | 6.65893 | − | 2.75822i | 0.295442 | − | 0.122376i | ||||
\(509\) | 8.81683 | 0.390799 | 0.195400 | − | 0.980724i | \(-0.437400\pi\) | ||||
0.195400 | + | 0.980724i | \(0.437400\pi\) | |||||||
\(510\) | −6.98931 | − | 23.4674i | −0.309492 | − | 1.03915i | ||||
\(511\) | 5.31027 | 0.234912 | ||||||||
\(512\) | 0.923880 | − | 0.382683i | 0.0408301 | − | 0.0169124i | ||||
\(513\) | 3.24689 | + | 16.3232i | 0.143354 | + | 0.720688i | ||||
\(514\) | −3.18368 | + | 3.18368i | −0.140426 | + | 0.140426i | ||||
\(515\) | 7.54051 | + | 10.9432i | 0.332275 | + | 0.482214i | ||||
\(516\) | −7.72839 | − | 11.5664i | −0.340224 | − | 0.509181i | ||||
\(517\) | 4.34343 | − | 2.90219i | 0.191024 | − | 0.127638i | ||||
\(518\) | 3.41530 | − | 8.24527i | 0.150060 | − | 0.362276i | ||||
\(519\) | −7.83523 | + | 3.24546i | −0.343928 | + | 0.142460i | ||||
\(520\) | 4.22204 | − | 6.51859i | 0.185149 | − | 0.285859i | ||||
\(521\) | −32.3811 | + | 21.6364i | −1.41864 | + | 0.947906i | −0.419447 | + | 0.907780i | \(0.637776\pi\) |
−0.999195 | + | 0.0401267i | \(0.987224\pi\) | |||||||
\(522\) | −14.0726 | − | 9.40302i | −0.615942 | − | 0.411559i | ||||
\(523\) | 27.9616i | 1.22267i | 0.791370 | + | 0.611337i | \(0.209368\pi\) | ||||
−0.791370 | + | 0.611337i | \(0.790632\pi\) | |||||||
\(524\) | −3.68831 | + | 5.51995i | −0.161125 | + | 0.241140i | ||||
\(525\) | −8.72400 | − | 19.4677i | −0.380747 | − | 0.849641i | ||||
\(526\) | 4.03319i | 0.175856i | ||||||||
\(527\) | 14.5163 | − | 17.0060i | 0.632341 | − | 0.740794i | ||||
\(528\) | 6.82817 | − | 6.82817i | 0.297158 | − | 0.297158i | ||||
\(529\) | −17.2941 | − | 7.16347i | −0.751919 | − | 0.311455i | ||||
\(530\) | −15.1263 | + | 10.4230i | −0.657045 | + | 0.452744i | ||||
\(531\) | 8.89633 | + | 8.89633i | 0.386068 | + | 0.386068i | ||||
\(532\) | −5.30768 | + | 7.94350i | −0.230117 | + | 0.344394i | ||||
\(533\) | −38.6123 | − | 7.68047i | −1.67248 | − | 0.332678i | ||||
\(534\) | −12.7900 | − | 2.54409i | −0.553477 | − | 0.110093i | ||||
\(535\) | 21.7869 | + | 21.1726i | 0.941928 | + | 0.915371i | ||||
\(536\) | −0.151734 | − | 0.366318i | −0.00655391 | − | 0.0158225i | ||||
\(537\) | −11.3974 | − | 17.0574i | −0.491833 | − | 0.736080i | ||||
\(538\) | 1.77815 | − | 8.93935i | 0.0766614 | − | 0.385403i | ||||
\(539\) | −3.13468 | − | 15.7591i | −0.135020 | − | 0.678792i | ||||
\(540\) | 2.31187 | − | 5.81515i | 0.0994872 | − | 0.250244i | ||||
\(541\) | −3.25353 | − | 2.17394i | −0.139880 | − | 0.0934648i | 0.483661 | − | 0.875255i | \(-0.339307\pi\) |
−0.623541 | + | 0.781790i | \(0.714307\pi\) | |||||||
\(542\) | 6.13911 | + | 14.8211i | 0.263697 | + | 0.636622i | ||||
\(543\) | −30.6005 | − | 30.6005i | −1.31319 | − | 1.31319i | ||||
\(544\) | 3.96799 | − | 1.12028i | 0.170126 | − | 0.0480318i | ||||
\(545\) | 7.85429 | − | 19.7562i | 0.336441 | − | 0.846264i | ||||
\(546\) | −5.67101 | + | 13.6910i | −0.242697 | + | 0.585922i | ||||
\(547\) | 31.7088 | − | 6.30728i | 1.35577 | − | 0.269680i | 0.536895 | − | 0.843649i | \(-0.319597\pi\) |
0.818877 | + | 0.573969i | \(0.194597\pi\) | |||||||
\(548\) | 7.53549 | 0.321900 | ||||||||
\(549\) | −57.8075 | + | 11.4986i | −2.46716 | + | 0.490749i | ||||
\(550\) | −14.8207 | + | 10.5280i | −0.631956 | + | 0.448915i | ||||
\(551\) | 4.84396 | − | 24.3522i | 0.206360 | − | 1.03744i | ||||
\(552\) | −5.07686 | − | 2.10290i | −0.216086 | − | 0.0895056i | ||||
\(553\) | 24.0269 | + | 9.95225i | 1.02173 | + | 0.423213i | ||||
\(554\) | −4.43161 | + | 22.2792i | −0.188281 | + | 0.946554i | ||||
\(555\) | −32.2628 | + | 6.89841i | −1.36948 | + | 0.292821i | ||||
\(556\) | −18.4696 | + | 3.67384i | −0.783287 | + | 0.155805i | ||||
\(557\) | 19.8490 | 0.841031 | 0.420516 | − | 0.907285i | \(-0.361849\pi\) | ||||
0.420516 | + | 0.907285i | \(0.361849\pi\) | |||||||
\(558\) | 21.5605 | − | 4.28865i | 0.912728 | − | 0.181553i | ||||
\(559\) | 6.96174 | − | 16.8071i | 0.294450 | − | 0.710865i | ||||
\(560\) | 3.29876 | − | 1.42198i | 0.139398 | − | 0.0600896i | ||||
\(561\) | 31.2603 | − | 24.6578i | 1.31981 | − | 1.04105i | ||||
\(562\) | 5.76363 | + | 5.76363i | 0.243124 | + | 0.243124i | ||||
\(563\) | 1.69576 | + | 4.09394i | 0.0714679 | + | 0.172539i | 0.955577 | − | 0.294742i | \(-0.0952337\pi\) |
−0.884109 | + | 0.467281i | \(0.845234\pi\) | |||||||
\(564\) | 3.17272 | + | 2.11995i | 0.133596 | + | 0.0892659i | ||||
\(565\) | 41.4381 | + | 16.4741i | 1.74331 | + | 0.693072i | ||||
\(566\) | −3.63237 | − | 18.2612i | −0.152680 | − | 0.767573i | ||||
\(567\) | 1.48193 | − | 7.45017i | 0.0622352 | − | 0.312878i | ||||
\(568\) | 8.39457 | + | 12.5634i | 0.352228 | + | 0.527147i | ||||
\(569\) | −14.3682 | − | 34.6879i | −0.602345 | − | 1.45419i | −0.871160 | − | 0.490999i | \(-0.836632\pi\) |
0.268815 | − | 0.963192i | \(-0.413368\pi\) | |||||||
\(570\) | 35.3136 | − | 0.504941i | 1.47912 | − | 0.0211497i | ||||
\(571\) | −1.76310 | − | 0.350702i | −0.0737835 | − | 0.0146764i | 0.158061 | − | 0.987429i | \(-0.449476\pi\) |
−0.231844 | + | 0.972753i | \(0.574476\pi\) | |||||||
\(572\) | 12.3857 | + | 2.46367i | 0.517873 | + | 0.103011i | ||||
\(573\) | 3.27977 | − | 4.90853i | 0.137014 | − | 0.205057i | ||||
\(574\) | −12.8758 | − | 12.8758i | −0.537425 | − | 0.537425i | ||||
\(575\) | 8.76256 | + | 5.49922i | 0.365424 | + | 0.229333i | ||||
\(576\) | 3.74516 | + | 1.55130i | 0.156048 | + | 0.0646374i | ||||
\(577\) | 16.6066 | − | 16.6066i | 0.691342 | − | 0.691342i | −0.271185 | − | 0.962527i | \(-0.587416\pi\) |
0.962527 | + | 0.271185i | \(0.0874156\pi\) | |||||||
\(578\) | 16.7892 | − | 2.66874i | 0.698339 | − | 0.111005i | ||||
\(579\) | 18.2100i | 0.756780i | ||||||||
\(580\) | −6.50645 | + | 6.69522i | −0.270166 | + | 0.278004i | ||||
\(581\) | −5.62482 | + | 8.41813i | −0.233357 | + | 0.349243i | ||||
\(582\) | − | 5.34018i | − | 0.221358i | ||||||
\(583\) | −24.8354 | − | 16.5945i | −1.02858 | − | 0.687275i | ||||
\(584\) | 2.74845 | − | 1.83646i | 0.113732 | − | 0.0759932i | ||||
\(585\) | 30.7872 | − | 6.58290i | 1.27289 | − | 0.272169i | ||||
\(586\) | −18.3107 | + | 7.58453i | −0.756407 | + | 0.313314i | ||||
\(587\) | 6.45706 | − | 15.5887i | 0.266511 | − | 0.643415i | −0.732803 | − | 0.680441i | \(-0.761788\pi\) |
0.999314 | + | 0.0370256i | \(0.0117883\pi\) | |||||||
\(588\) | 9.75895 | − | 6.52072i | 0.402452 | − | 0.268910i | ||||
\(589\) | 17.9168 | + | 26.8143i | 0.738248 | + | 1.10487i | ||||
\(590\) | 5.71463 | − | 3.93773i | 0.235268 | − | 0.162114i | ||||
\(591\) | −21.9640 | + | 21.9640i | −0.903477 | + | 0.903477i | ||||
\(592\) | −1.08380 | − | 5.44865i | −0.0445441 | − | 0.223938i | ||||
\(593\) | 8.11961 | − | 3.36325i | 0.333432 | − | 0.138112i | −0.209685 | − | 0.977769i | \(-0.567244\pi\) |
0.543117 | + | 0.839657i | \(0.317244\pi\) | |||||||
\(594\) | 10.1754 | 0.417501 | ||||||||
\(595\) | 14.1948 | − | 4.22765i | 0.581930 | − | 0.173317i | ||||
\(596\) | 18.3588 | 0.752007 | ||||||||
\(597\) | 34.5382 | − | 14.3062i | 1.41356 | − | 0.585514i | ||||
\(598\) | −1.40198 | − | 7.04825i | −0.0573314 | − | 0.288225i | ||||
\(599\) | −3.25613 | + | 3.25613i | −0.133042 | + | 0.133042i | −0.770492 | − | 0.637450i | \(-0.779989\pi\) |
0.637450 | + | 0.770492i | \(0.279989\pi\) | |||||||
\(600\) | −11.2479 | − | 7.05895i | −0.459192 | − | 0.288180i | ||||
\(601\) | −4.22267 | − | 6.31967i | −0.172246 | − | 0.257785i | 0.735295 | − | 0.677747i | \(-0.237043\pi\) |
−0.907542 | + | 0.419962i | \(0.862043\pi\) | |||||||
\(602\) | 6.99619 | − | 4.67470i | 0.285143 | − | 0.190527i | ||||
\(603\) | 0.615089 | − | 1.48496i | 0.0250484 | − | 0.0604721i | ||||
\(604\) | −0.378610 | + | 0.156826i | −0.0154054 | + | 0.00638114i | ||||
\(605\) | −4.16583 | − | 2.69818i | −0.169365 | − | 0.109696i | ||||
\(606\) | −20.8415 | + | 13.9258i | −0.846626 | + | 0.565698i | ||||
\(607\) | −0.461370 | − | 0.308278i | −0.0187264 | − | 0.0125126i | 0.546172 | − | 0.837673i | \(-0.316085\pi\) |
−0.564898 | + | 0.825161i | \(0.691085\pi\) | |||||||
\(608\) | 5.94691i | 0.241179i | ||||||||
\(609\) | 9.89683 | − | 14.8116i | 0.401040 | − | 0.600198i | ||||
\(610\) | 0.464831 | + | 32.5084i | 0.0188205 | + | 1.31623i | ||||
\(611\) | 4.99015i | 0.201880i | ||||||||
\(612\) | 14.5852 | + | 8.16274i | 0.589570 | + | 0.329959i | ||||
\(613\) | 30.8016 | − | 30.8016i | 1.24407 | − | 1.24407i | 0.285767 | − | 0.958299i | \(-0.407752\pi\) |
0.958299 | − | 0.285767i | \(-0.0922483\pi\) | |||||||
\(614\) | 10.0660 | + | 4.16946i | 0.406230 | + | 0.168266i | ||||
\(615\) | −12.1872 | + | 66.2022i | −0.491434 | + | 2.66953i | ||||
\(616\) | 4.13018 | + | 4.13018i | 0.166410 | + | 0.166410i | ||||
\(617\) | −8.99779 | + | 13.4661i | −0.362237 | + | 0.542126i | −0.967163 | − | 0.254155i | \(-0.918203\pi\) |
0.604926 | + | 0.796282i | \(0.293203\pi\) | |||||||
\(618\) | −15.4814 | − | 3.07943i | −0.622751 | − | 0.123873i | ||||
\(619\) | −30.3711 | − | 6.04118i | −1.22072 | − | 0.242816i | −0.457648 | − | 0.889133i | \(-0.651308\pi\) |
−0.763069 | + | 0.646318i | \(0.776308\pi\) | |||||||
\(620\) | −0.173368 | − | 12.1247i | −0.00696263 | − | 0.486939i | ||||
\(621\) | −2.21590 | − | 5.34966i | −0.0889211 | − | 0.214675i | ||||
\(622\) | −6.07392 | − | 9.09027i | −0.243542 | − | 0.364487i | ||||
\(623\) | 1.53885 | − | 7.73633i | 0.0616528 | − | 0.309950i | ||||
\(624\) | 1.79963 | + | 9.04734i | 0.0720427 | + | 0.362183i | ||||
\(625\) | 18.6592 | + | 16.6383i | 0.746369 | + | 0.665532i | ||||
\(626\) | 4.81431 | + | 3.21682i | 0.192418 | + | 0.128570i | ||||
\(627\) | 21.9761 | + | 53.0550i | 0.877641 | + | 2.11881i | ||||
\(628\) | −11.1675 | − | 11.1675i | −0.445633 | − | 0.445633i | ||||
\(629\) | −1.80351 | − | 22.8344i | −0.0719105 | − | 0.910466i | ||||
\(630\) | 13.5316 | + | 5.37964i | 0.539113 | + | 0.214330i | ||||
\(631\) | 6.95969 | − | 16.8022i | 0.277061 | − | 0.668885i | −0.722691 | − | 0.691172i | \(-0.757095\pi\) |
0.999752 | + | 0.0222872i | \(0.00709482\pi\) | |||||||
\(632\) | 15.8775 | − | 3.15822i | 0.631572 | − | 0.125627i | ||||
\(633\) | 16.4195 | 0.652615 | ||||||||
\(634\) | −0.112281 | + | 0.0223341i | −0.00445925 | + | 0.000886999i | ||||
\(635\) | 8.76141 | − | 13.5271i | 0.347686 | − | 0.536808i | ||||
\(636\) | 4.25658 | − | 21.3993i | 0.168784 | − | 0.848536i | ||||
\(637\) | 14.1808 | + | 5.87387i | 0.561862 | + | 0.232731i | ||||
\(638\) | −14.0249 | − | 5.80929i | −0.555250 | − | 0.229992i | ||||
\(639\) | −11.9495 | + | 60.0743i | −0.472716 | + | 2.37650i | ||||
\(640\) | 1.21558 | − | 1.87679i | 0.0480502 | − | 0.0741868i | ||||
\(641\) | −8.79233 | + | 1.74890i | −0.347276 | + | 0.0690775i | −0.365647 | − | 0.930754i | \(-0.619152\pi\) |
0.0183705 | + | 0.999831i | \(0.494152\pi\) | |||||||
\(642\) | −36.0838 | −1.42412 | ||||||||
\(643\) | −31.5973 | + | 6.28509i | −1.24607 | + | 0.247860i | −0.773708 | − | 0.633542i | \(-0.781600\pi\) |
−0.472367 | + | 0.881402i | \(0.656600\pi\) | |||||||
\(644\) | 1.27199 | − | 3.07086i | 0.0501235 | − | 0.121009i | ||||
\(645\) | −28.9049 | − | 11.4914i | −1.13813 | − | 0.452474i | ||||
\(646\) | −2.87520 | + | 24.3506i | −0.113123 | + | 0.958061i | ||||
\(647\) | 5.46217 | + | 5.46217i | 0.214740 | + | 0.214740i | 0.806278 | − | 0.591537i | \(-0.201479\pi\) |
−0.591537 | + | 0.806278i | \(0.701479\pi\) | |||||||
\(648\) | −1.80950 | − | 4.36851i | −0.0710837 | − | 0.171611i | ||||
\(649\) | 9.38268 | + | 6.26931i | 0.368303 | + | 0.246092i | ||||
\(650\) | −0.496533 | − | 17.3592i | −0.0194756 | − | 0.680884i | ||||
\(651\) | 4.51387 | + | 22.6928i | 0.176912 | + | 0.889399i | ||||
\(652\) | −1.68100 | + | 8.45094i | −0.0658329 | + | 0.330964i | ||||
\(653\) | 7.18766 | + | 10.7571i | 0.281275 | + | 0.420958i | 0.945026 | − | 0.326996i | \(-0.106036\pi\) |
−0.663751 | + | 0.747954i | \(0.731036\pi\) | |||||||
\(654\) | 9.66347 | + | 23.3297i | 0.377871 | + | 0.912262i | ||||
\(655\) | 0.212241 | + | 14.8433i | 0.00829293 | + | 0.579974i | ||||
\(656\) | −11.1170 | − | 2.21131i | −0.434047 | − | 0.0863373i | ||||
\(657\) | 13.1423 | + | 2.61417i | 0.512730 | + | 0.101988i | ||||
\(658\) | −1.28230 | + | 1.91910i | −0.0499893 | + | 0.0748142i | ||||
\(659\) | 3.48601 | + | 3.48601i | 0.135796 | + | 0.135796i | 0.771737 | − | 0.635942i | \(-0.219388\pi\) |
−0.635942 | + | 0.771737i | \(0.719388\pi\) | |||||||
\(660\) | 3.90929 | − | 21.2358i | 0.152169 | − | 0.826600i | ||||
\(661\) | 15.8424 | + | 6.56214i | 0.616198 | + | 0.255238i | 0.668876 | − | 0.743374i | \(-0.266776\pi\) |
−0.0526781 | + | 0.998612i | \(0.516776\pi\) | |||||||
\(662\) | 20.0834 | − | 20.0834i | 0.780565 | − | 0.780565i | ||||
\(663\) | 2.99467 | + | 37.9159i | 0.116303 | + | 1.47253i | ||||
\(664\) | 6.30224i | 0.244574i | ||||||||
\(665\) | 0.305426 | + | 21.3602i | 0.0118439 | + | 0.828315i | ||||
\(666\) | 12.5115 | − | 18.7248i | 0.484811 | − | 0.725571i | ||||
\(667\) | 8.63860i | 0.334488i | ||||||||
\(668\) | 7.59622 | + | 5.07563i | 0.293907 | + | 0.196382i | ||||
\(669\) | 24.3042 | − | 16.2395i | 0.939654 | − | 0.627857i | ||||
\(670\) | −0.744149 | − | 0.481979i | −0.0287490 | − | 0.0186205i | ||||
\(671\) | −48.8405 | + | 20.2304i | −1.88547 | + | 0.780986i | ||||
\(672\) | −1.63276 | + | 3.94184i | −0.0629852 | + | 0.152060i | ||||
\(673\) | −23.2491 | + | 15.5346i | −0.896188 | + | 0.598814i | −0.916083 | − | 0.400988i | \(-0.868667\pi\) |
0.0198952 | + | 0.999802i | \(0.493667\pi\) | |||||||
\(674\) | −17.3636 | − | 25.9864i | −0.668819 | − | 1.00096i | ||||
\(675\) | −3.12118 | − | 13.6405i | −0.120134 | − | 0.525022i | ||||
\(676\) | 0.662183 | − | 0.662183i | 0.0254686 | − | 0.0254686i | ||||
\(677\) | 4.47429 | + | 22.4938i | 0.171961 | + | 0.864506i | 0.966376 | + | 0.257131i | \(0.0827773\pi\) |
−0.794416 | + | 0.607375i | \(0.792223\pi\) | |||||||
\(678\) | −48.9332 | + | 20.2688i | −1.87927 | + | 0.778419i | ||||
\(679\) | 3.23014 | 0.123961 | ||||||||
\(680\) | 5.88479 | − | 7.09713i | 0.225672 | − | 0.272162i | ||||
\(681\) | −11.7712 | −0.451075 | ||||||||
\(682\) | 18.2161 | − | 7.54535i | 0.697530 | − | 0.288926i | ||||
\(683\) | 8.20130 | + | 41.2307i | 0.313814 | + | 1.57765i | 0.739740 | + | 0.672892i | \(0.234948\pi\) |
−0.425926 | + | 0.904758i | \(0.640052\pi\) | |||||||
\(684\) | −17.0464 | + | 17.0464i | −0.651784 | + | 0.651784i | ||||
\(685\) | 13.8749 | − | 9.56063i | 0.530132 | − | 0.365293i | ||||
\(686\) | 10.1918 | + | 15.2531i | 0.389124 | + | 0.582365i | ||||
\(687\) | −0.173587 | + | 0.115987i | −0.00662277 | + | 0.00442519i | ||||
\(688\) | 2.00438 | − | 4.83901i | 0.0764163 | − | 0.184485i | ||||
\(689\) | 26.3614 | − | 10.9192i | 1.00429 | − | 0.415990i | ||||
\(690\) | −12.0159 | + | 2.56924i | −0.457439 | + | 0.0978092i | ||||
\(691\) | 17.3745 | − | 11.6093i | 0.660956 | − | 0.441637i | −0.179323 | − | 0.983790i | \(-0.557391\pi\) |
0.840280 | + | 0.542153i | \(0.182391\pi\) | |||||||
\(692\) | −2.65505 | − | 1.77405i | −0.100930 | − | 0.0674392i | ||||
\(693\) | 23.6777i | 0.899442i | ||||||||
\(694\) | −8.50457 | + | 12.7280i | −0.322829 | + | 0.483148i | ||||
\(695\) | −29.3464 | + | 30.1978i | −1.11317 | + | 1.14547i | ||||
\(696\) | − | 11.0888i | − | 0.420318i | ||||||
\(697\) | −44.4513 | − | 14.4294i | −1.68371 | − | 0.546553i | ||||
\(698\) | −10.7645 | + | 10.7645i | −0.407444 | + | 0.407444i | ||||
\(699\) | −19.5969 | − | 8.11731i | −0.741224 | − | 0.307025i | ||||
\(700\) | 4.26977 | − | 6.80354i | 0.161382 | − | 0.257150i | ||||
\(701\) | −24.8926 | − | 24.8926i | −0.940182 | − | 0.940182i | 0.0581274 | − | 0.998309i | \(-0.481487\pi\) |
−0.998309 | + | 0.0581274i | \(0.981487\pi\) | |||||||
\(702\) | −5.40029 | + | 8.08210i | −0.203821 | + | 0.305039i | ||||
\(703\) | 32.4026 | + | 6.44529i | 1.22209 | + | 0.243089i | ||||
\(704\) | 3.56602 | + | 0.709326i | 0.134399 | + | 0.0267337i | ||||
\(705\) | 8.53152 | − | 0.121990i | 0.321316 | − | 0.00459443i | ||||
\(706\) | −7.32097 | − | 17.6744i | −0.275528 | − | 0.665184i | ||||
\(707\) | −8.42336 | − | 12.6064i | −0.316793 | − | 0.474114i | ||||
\(708\) | −1.60811 | + | 8.08452i | −0.0604365 | + | 0.303835i | ||||
\(709\) | 5.75229 | + | 28.9187i | 0.216032 | + | 1.08606i | 0.924751 | + | 0.380574i | \(0.124273\pi\) |
−0.708719 | + | 0.705491i | \(0.750727\pi\) | |||||||
\(710\) | 31.3964 | + | 12.4820i | 1.17829 | + | 0.468440i | ||||
\(711\) | 54.5644 | + | 36.4587i | 2.04632 | + | 1.36731i | ||||
\(712\) | −1.87900 | − | 4.53631i | −0.0704185 | − | 0.170005i | ||||
\(713\) | −7.93386 | − | 7.93386i | −0.297126 | − | 0.297126i | ||||
\(714\) | −8.59141 | + | 15.3511i | −0.321525 | + | 0.574500i | ||||
\(715\) | 25.9312 | − | 11.1781i | 0.969774 | − | 0.418036i | ||||
\(716\) | 2.95594 | − | 7.13628i | 0.110469 | − | 0.266695i | ||||
\(717\) | 1.87814 | − | 0.373585i | 0.0701403 | − | 0.0139518i | ||||
\(718\) | 24.6747 | 0.920850 | ||||||||
\(719\) | −5.60952 | + | 1.11580i | −0.209200 | + | 0.0416124i | −0.298577 | − | 0.954385i | \(-0.596512\pi\) |
0.0893778 | + | 0.995998i | \(0.471512\pi\) | |||||||
\(720\) | 8.86406 | − | 1.89531i | 0.330344 | − | 0.0706340i | ||||
\(721\) | 1.86267 | − | 9.36426i | 0.0693694 | − | 0.348743i | ||||
\(722\) | −15.1200 | − | 6.26290i | −0.562707 | − | 0.233081i | ||||
\(723\) | 30.2724 | + | 12.5393i | 1.12584 | + | 0.466340i | ||||
\(724\) | 3.17885 | − | 15.9811i | 0.118141 | − | 0.593935i | ||||
\(725\) | −3.48560 | + | 20.5828i | −0.129452 | + | 0.764424i | ||||
\(726\) | 5.78188 | − | 1.15009i | 0.214586 | − | 0.0426837i | ||||
\(727\) | −7.58102 | −0.281165 | −0.140582 | − | 0.990069i | \(-0.544897\pi\) | ||||
−0.140582 | + | 0.990069i | \(0.544897\pi\) | |||||||
\(728\) | −5.47250 | + | 1.08855i | −0.202824 | + | 0.0403442i | ||||
\(729\) | 15.8684 | − | 38.3097i | 0.587719 | − | 1.41888i | ||||
\(730\) | 2.73065 | − | 6.86851i | 0.101066 | − | 0.254215i | ||||
\(731\) | 10.5468 | − | 18.8450i | 0.390088 | − | 0.697008i | ||||
\(732\) | −27.3055 | − | 27.3055i | −1.00924 | − | 1.00924i | ||||
\(733\) | −2.14171 | − | 5.17054i | −0.0791058 | − | 0.190978i | 0.879379 | − | 0.476123i | \(-0.157958\pi\) |
−0.958484 | + | 0.285145i | \(0.907958\pi\) | |||||||
\(734\) | 1.65382 | + | 1.10504i | 0.0610435 | + | 0.0407879i | ||||
\(735\) | 9.69572 | − | 24.3881i | 0.357632 | − | 0.899567i | ||||
\(736\) | −0.403651 | − | 2.02929i | −0.0148788 | − | 0.0748007i | ||||
\(737\) | 0.281248 | − | 1.41393i | 0.0103599 | − | 0.0520827i | ||||
\(738\) | −25.5275 | − | 38.2047i | −0.939682 | − | 1.40633i | ||||
\(739\) | 0.617255 | + | 1.49019i | 0.0227061 | + | 0.0548174i | 0.934826 | − | 0.355106i | \(-0.115555\pi\) |
−0.912120 | + | 0.409924i | \(0.865555\pi\) | |||||||
\(740\) | −8.90854 | − | 8.65737i | −0.327485 | − | 0.318251i | ||||
\(741\) | −53.8037 | − | 10.7022i | −1.97653 | − | 0.393156i | ||||
\(742\) | 12.9439 | + | 2.57469i | 0.475184 | + | 0.0945200i | ||||
\(743\) | 11.6521 | − | 17.4387i | 0.427475 | − | 0.639762i | −0.553737 | − | 0.832691i | \(-0.686799\pi\) |
0.981213 | + | 0.192929i | \(0.0617988\pi\) | |||||||
\(744\) | 10.1841 | + | 10.1841i | 0.373368 | + | 0.373368i | ||||
\(745\) | 33.8036 | − | 23.2927i | 1.23847 | − | 0.853380i | ||||
\(746\) | 17.1865 | + | 7.11887i | 0.629242 | + | 0.260640i | ||||
\(747\) | −18.0649 | + | 18.0649i | −0.660960 | + | 0.660960i | ||||
\(748\) | 14.2587 | + | 4.62854i | 0.521350 | + | 0.169236i | ||||
\(749\) | − | 21.8262i | − | 0.797511i | ||||||
\(750\) | −29.6664 | + | 1.27328i | −1.08326 | + | 0.0464935i | ||||
\(751\) | 10.3739 | − | 15.5257i | 0.378551 | − | 0.566541i | −0.592453 | − | 0.805605i | \(-0.701840\pi\) |
0.971004 | + | 0.239064i | \(0.0768405\pi\) | |||||||
\(752\) | 1.43673i | 0.0523923i | ||||||||
\(753\) | −29.2332 | − | 19.5330i | −1.06532 | − | 0.711822i | ||||
\(754\) | 12.0575 | − | 8.05656i | 0.439108 | − | 0.293402i | ||||
\(755\) | −0.498152 | + | 0.769119i | −0.0181296 | + | 0.0279911i | ||||
\(756\) | −4.15365 | + | 1.72050i | −0.151067 | + | 0.0625740i | ||||
\(757\) | −8.42597 | + | 20.3421i | −0.306247 | + | 0.739346i | 0.693573 | + | 0.720386i | \(0.256035\pi\) |
−0.999820 | + | 0.0189597i | \(0.993965\pi\) | |||||||
\(758\) | −27.4349 | + | 18.3314i | −0.996480 | + | 0.665827i | ||||
\(759\) | −11.1002 | − | 16.6126i | −0.402910 | − | 0.602997i | ||||
\(760\) | 7.54513 | + | 10.9499i | 0.273691 | + | 0.397194i | ||||
\(761\) | 12.0277 | − | 12.0277i | 0.436002 | − | 0.436002i | −0.454662 | − | 0.890664i | \(-0.650240\pi\) |
0.890664 | + | 0.454662i | \(0.150240\pi\) | |||||||
\(762\) | 3.73452 | + | 18.7747i | 0.135287 | + | 0.680135i | ||||
\(763\) | −14.1115 | + | 5.84518i | −0.510871 | + | 0.211610i | ||||
\(764\) | 2.22277 | 0.0804171 | ||||||||
\(765\) | 37.2117 | − | 3.47506i | 1.34539 | − | 0.125641i | ||||
\(766\) | −35.6764 | −1.28904 | ||||||||
\(767\) | −9.95917 | + | 4.12522i | −0.359605 | + | 0.148953i | ||||
\(768\) | 0.518138 | + | 2.60485i | 0.0186967 | + | 0.0939946i | ||||
\(769\) | −3.88860 | + | 3.88860i | −0.140227 | + | 0.140227i | −0.773735 | − | 0.633509i | \(-0.781614\pi\) |
0.633509 | + | 0.773735i | \(0.281614\pi\) | |||||||
\(770\) | 12.8449 | + | 2.36463i | 0.462900 | + | 0.0852152i | ||||
\(771\) | −6.64343 | − | 9.94259i | −0.239257 | − | 0.358074i | ||||
\(772\) | −5.70093 | + | 3.80924i | −0.205181 | + | 0.137098i | ||||
\(773\) | 3.46531 | − | 8.36601i | 0.124639 | − | 0.300904i | −0.849227 | − | 0.528027i | \(-0.822932\pi\) |
0.973866 | + | 0.227123i | \(0.0729319\pi\) | |||||||
\(774\) | 19.6160 | − | 8.12523i | 0.705084 | − | 0.292055i | ||||
\(775\) | −15.7024 | − | 22.1048i | −0.564046 | − | 0.794030i | ||||
\(776\) | 1.67183 | − | 1.11708i | 0.0600153 | − | 0.0401010i | ||||
\(777\) | 19.7081 | + | 13.1685i | 0.707025 | + | 0.472419i | ||||
\(778\) | − | 16.9172i | − | 0.606511i | ||||||
\(779\) | 37.4494 | − | 56.0470i | 1.34176 | − | 2.00809i | ||||
\(780\) | 14.7924 | + | 14.3753i | 0.529652 | + | 0.514719i | ||||
\(781\) | 54.9376i | 1.96582i | ||||||||
\(782\) | −0.671696 | − | 8.50441i | −0.0240198 | − | 0.304117i | ||||
\(783\) | 8.26226 | − | 8.26226i | 0.295269 | − | 0.295269i | ||||
\(784\) | 4.08284 | + | 1.69117i | 0.145816 | + | 0.0603989i | ||||
\(785\) | −34.7312 | − | 6.39367i | −1.23961 | − | 0.228200i | ||||
\(786\) | −12.4676 | − | 12.4676i | −0.444705 | − | 0.444705i | ||||
\(787\) | 8.00999 | − | 11.9878i | 0.285525 | − | 0.427319i | −0.660786 | − | 0.750574i | \(-0.729777\pi\) |
0.946312 | + | 0.323255i | \(0.104777\pi\) | |||||||
\(788\) | −11.4707 | − | 2.28167i | −0.408627 | − | 0.0812810i | ||||
\(789\) | −10.5059 | − | 2.08975i | −0.374019 | − | 0.0743971i | ||||
\(790\) | 25.2277 | − | 25.9597i | 0.897562 | − | 0.923603i | ||||
\(791\) | −12.2601 | − | 29.5984i | −0.435918 | − | 1.05240i | ||||
\(792\) | 8.18850 | + | 12.2550i | 0.290966 | + | 0.435461i | ||||
\(793\) | 9.85208 | − | 49.5297i | 0.349858 | − | 1.75885i | ||||
\(794\) | 0.858028 | + | 4.31360i | 0.0304503 | + | 0.153084i | ||||
\(795\) | −19.3128 | − | 44.8024i | −0.684953 | − | 1.58898i | ||||
\(796\) | 11.7037 | + | 7.82013i | 0.414825 | + | 0.277177i | ||||
\(797\) | 8.52237 | + | 20.5748i | 0.301878 | + | 0.728797i | 0.999919 | + | 0.0127397i | \(0.00405529\pi\) |
−0.698041 | + | 0.716058i | \(0.745945\pi\) | |||||||
\(798\) | −17.9416 | − | 17.9416i | −0.635124 | − | 0.635124i | ||||
\(799\) | −0.694630 | + | 5.88294i | −0.0245742 | + | 0.208123i | ||||
\(800\) | −0.142959 | − | 4.99796i | −0.00505435 | − | 0.176704i | ||||
\(801\) | 7.61696 | − | 18.3890i | 0.269132 | − | 0.649743i | ||||
\(802\) | −23.2855 | + | 4.63178i | −0.822241 | + | 0.163554i | ||||
\(803\) | 12.0186 | 0.424125 | ||||||||
\(804\) | 1.03283 | − | 0.205442i | 0.0364249 | − | 0.00724537i | ||||
\(805\) | −1.55406 | − | 7.26812i | −0.0547736 | − | 0.256168i | ||||
\(806\) | −3.67454 | + | 18.4731i | −0.129430 | + | 0.650688i | ||||
\(807\) | 22.3644 | + | 9.26363i | 0.787264 | + | 0.326095i | ||||
\(808\) | −8.71942 | − | 3.61170i | −0.306748 | − | 0.127059i | ||||
\(809\) | −6.87121 | + | 34.5439i | −0.241579 | + | 1.21450i | 0.649398 | + | 0.760449i | \(0.275021\pi\) |
−0.890976 | + | 0.454050i | \(0.849979\pi\) | |||||||
\(810\) | −8.87431 | − | 5.74782i | −0.311811 | − | 0.201958i | ||||
\(811\) | 2.94357 | − | 0.585512i | 0.103363 | − | 0.0205601i | −0.143138 | − | 0.989703i | \(-0.545719\pi\) |
0.246501 | + | 0.969143i | \(0.420719\pi\) | |||||||
\(812\) | 6.70730 | 0.235380 | ||||||||
\(813\) | −41.7878 | + | 8.31211i | −1.46556 | + | 0.291518i | ||||
\(814\) | 7.72974 | − | 18.6612i | 0.270927 | − | 0.654076i | ||||
\(815\) | 7.62694 | + | 17.6932i | 0.267160 | + | 0.619767i | ||||
\(816\) | 0.862208 | + | 10.9165i | 0.0301833 | + | 0.382154i | ||||
\(817\) | 22.0251 | + | 22.0251i | 0.770559 | + | 0.770559i | ||||
\(818\) | −5.06068 | − | 12.2176i | −0.176943 | − | 0.427177i | ||||
\(819\) | −18.8067 | − | 12.5663i | −0.657160 | − | 0.439100i | ||||
\(820\) | −23.2751 | + | 10.0331i | −0.812800 | + | 0.350370i | ||||
\(821\) | 8.73352 | + | 43.9064i | 0.304802 | + | 1.53234i | 0.764709 | + | 0.644376i | \(0.222883\pi\) |
−0.459906 | + | 0.887967i | \(0.652117\pi\) | |||||||
\(822\) | −3.90442 | + | 19.6288i | −0.136182 | + | 0.684635i | ||||
\(823\) | 9.24436 | + | 13.8352i | 0.322238 | + | 0.482264i | 0.956856 | − | 0.290563i | \(-0.0938425\pi\) |
−0.634618 | + | 0.772826i | \(0.718842\pi\) | |||||||
\(824\) | −2.27439 | − | 5.49086i | −0.0792321 | − | 0.191283i | ||||
\(825\) | −19.7447 | − | 44.0607i | −0.687424 | − | 1.53400i | ||||
\(826\) | −4.89011 | − | 0.972704i | −0.170149 | − | 0.0338447i | ||||
\(827\) | 45.2515 | + | 9.00109i | 1.57355 | + | 0.312999i | 0.903258 | − | 0.429099i | \(-0.141169\pi\) |
0.670292 | + | 0.742097i | \(0.266169\pi\) | |||||||
\(828\) | 4.65977 | − | 6.97384i | 0.161938 | − | 0.242358i | ||||
\(829\) | −4.96498 | − | 4.96498i | −0.172441 | − | 0.172441i | 0.615610 | − | 0.788051i | \(-0.288910\pi\) |
−0.788051 | + | 0.615610i | \(0.788910\pi\) | |||||||
\(830\) | 7.99596 | + | 11.6041i | 0.277544 | + | 0.402786i | ||||
\(831\) | −55.7380 | − | 23.0874i | −1.93353 | − | 0.800894i | ||||
\(832\) | −2.45597 | + | 2.45597i | −0.0851453 | + | 0.0851453i | ||||
\(833\) | 15.9002 | + | 8.89872i | 0.550909 | + | 0.308323i | ||||
\(834\) | − | 50.0143i | − | 1.73185i | ||||||
\(835\) | 20.4264 | − | 0.292073i | 0.706885 | − | 0.0101076i | ||||
\(836\) | −12.0127 | + | 17.9783i | −0.415468 | + | 0.621791i | ||||
\(837\) | 15.1764i | 0.524575i | ||||||||
\(838\) | 6.38836 | + | 4.26857i | 0.220682 | + | 0.147455i | ||||
\(839\) | −41.3411 | + | 27.6232i | −1.42725 | + | 0.953659i | −0.428509 | + | 0.903538i | \(0.640961\pi\) |
−0.998743 | + | 0.0501217i | \(0.984039\pi\) | |||||||
\(840\) | 1.99484 | + | 9.32956i | 0.0688286 | + | 0.321901i | ||||
\(841\) | 10.6875 | − | 4.42689i | 0.368533 | − | 0.152652i | ||||
\(842\) | 3.23028 | − | 7.79859i | 0.111323 | − | 0.268757i | ||||
\(843\) | −17.9998 | + | 12.0271i | −0.619945 | + | 0.414234i | ||||
\(844\) | 3.43470 | + | 5.14038i | 0.118227 | + | 0.176939i | ||||
\(845\) | 0.379115 | − | 2.05940i | 0.0130420 | − | 0.0708456i | ||||
\(846\) | −4.11829 | + | 4.11829i | −0.141590 | + | 0.141590i | ||||
\(847\) | 0.695657 | + | 3.49730i | 0.0239031 | + | 0.120169i | ||||
\(848\) | 7.58981 | − | 3.14380i | 0.260635 | − | 0.107959i | ||||
\(849\) | 49.4497 | 1.69711 | ||||||||
\(850\) | 1.83104 | − | 20.5341i | 0.0628040 | − | 0.704312i | ||||
\(851\) | −11.4944 | −0.394022 | ||||||||
\(852\) | −37.0753 | + | 15.3571i | −1.27018 | + | 0.526125i | ||||
\(853\) | −0.190334 | − | 0.956873i | −0.00651691 | − | 0.0327627i | 0.977390 | − | 0.211444i | \(-0.0678168\pi\) |
−0.983907 | + | 0.178682i | \(0.942817\pi\) | |||||||
\(854\) | 16.5164 | − | 16.5164i | 0.565178 | − | 0.565178i | ||||
\(855\) | −9.75944 | + | 53.0145i | −0.333766 | + | 1.81306i | ||||
\(856\) | −7.54818 | − | 11.2966i | −0.257991 | − | 0.386111i | ||||
\(857\) | −30.7890 | + | 20.5725i | −1.05173 | + | 0.702744i | −0.956209 | − | 0.292683i | \(-0.905452\pi\) |
−0.0955216 | + | 0.995427i | \(0.530452\pi\) | |||||||
\(858\) | −12.8350 | + | 30.9865i | −0.438180 | + | 1.05786i | ||||
\(859\) | 14.2415 | − | 5.89904i | 0.485915 | − | 0.201273i | −0.126256 | − | 0.991998i | \(-0.540296\pi\) |
0.612172 | + | 0.790725i | \(0.290296\pi\) | |||||||
\(860\) | −2.44887 | − | 11.4530i | −0.0835057 | − | 0.390543i | ||||
\(861\) | 40.2110 | − | 26.8681i | 1.37039 | − | 0.915663i | ||||
\(862\) | −7.22727 | − | 4.82911i | −0.246162 | − | 0.164480i | ||||
\(863\) | − | 2.05160i | − | 0.0698374i | −0.999390 | − | 0.0349187i | \(-0.988883\pi\) | ||
0.999390 | − | 0.0349187i | \(-0.0111172\pi\) | |||||||
\(864\) | −1.55482 | + | 2.32695i | −0.0528960 | + | 0.0791645i | ||||
\(865\) | −7.13949 | + | 0.102086i | −0.242750 | + | 0.00347103i | ||||
\(866\) | 6.18312i | 0.210111i | ||||||||
\(867\) | −1.74744 | + | 45.1162i | −0.0593462 | + | 1.53223i | ||||
\(868\) | −6.16011 | + | 6.16011i | −0.209088 | + | 0.209088i | ||||
\(869\) | 54.3792 | + | 22.5246i | 1.84469 | + | 0.764095i | ||||
\(870\) | −14.0688 | − | 20.4174i | −0.476978 | − | 0.692215i | ||||
\(871\) | 0.973791 | + | 0.973791i | 0.0329956 | + | 0.0329956i | ||||
\(872\) | −5.28230 | + | 7.90551i | −0.178881 | + | 0.267715i | ||||
\(873\) | 7.99422 | + | 1.59015i | 0.270563 | + | 0.0538184i | ||||
\(874\) | 12.0680 | + | 2.40048i | 0.408207 | + | 0.0811973i | ||||
\(875\) | −0.770171 | − | 17.9444i | −0.0260365 | − | 0.606632i | ||||
\(876\) | 3.35963 | + | 8.11086i | 0.113511 | + | 0.274041i | ||||
\(877\) | 8.95406 | + | 13.4007i | 0.302357 | + | 0.452509i | 0.951273 | − | 0.308351i | \(-0.0997772\pi\) |
−0.648916 | + | 0.760860i | \(0.724777\pi\) | |||||||
\(878\) | −3.29692 | + | 16.5747i | −0.111266 | + | 0.559370i | ||||
\(879\) | −10.2691 | − | 51.6265i | −0.346370 | − | 1.74132i | ||||
\(880\) | 7.46597 | − | 3.21832i | 0.251678 | − | 0.108490i | ||||
\(881\) | −30.3104 | − | 20.2528i | −1.02118 | − | 0.682334i | −0.0721137 | − | 0.997396i | \(-0.522974\pi\) |
−0.949071 | + | 0.315063i | \(0.897974\pi\) | |||||||
\(882\) | 6.85555 | + | 16.5508i | 0.230838 | + | 0.557293i | ||||
\(883\) | −28.8886 | − | 28.8886i | −0.972180 | − | 0.972180i | 0.0274432 | − | 0.999623i | \(-0.491263\pi\) |
−0.999623 | + | 0.0274432i | \(0.991263\pi\) | |||||||
\(884\) | −11.2438 | + | 8.86894i | −0.378168 | + | 0.298295i | ||||
\(885\) | 7.29625 | + | 16.9261i | 0.245261 | + | 0.568964i | ||||
\(886\) | −4.50217 | + | 10.8692i | −0.151253 | + | 0.365158i | ||||
\(887\) | −43.8005 | + | 8.71245i | −1.47068 | + | 0.292535i | −0.864434 | − | 0.502746i | \(-0.832323\pi\) |
−0.606241 | + | 0.795281i | \(0.707323\pi\) | |||||||
\(888\) | 14.7545 | 0.495129 | ||||||||
\(889\) | −11.3563 | + | 2.25891i | −0.380879 | + | 0.0757615i | ||||
\(890\) | −9.21517 | − | 5.96859i | −0.308893 | − | 0.200068i | ||||
\(891\) | 3.35401 | − | 16.8617i | 0.112363 | − | 0.564889i | ||||
\(892\) | 10.1681 | + | 4.21177i | 0.340454 | + | 0.141021i | ||||
\(893\) | −7.89375 | − | 3.26970i | −0.264154 | − | 0.109416i | ||||
\(894\) | −9.51241 | + | 47.8221i | −0.318143 | + | 1.59941i | ||||
\(895\) | −3.61144 | − | 16.8902i | −0.120717 | − | 0.564576i | ||||
\(896\) | −1.57561 | + | 0.313408i | −0.0526374 | + | 0.0104702i | ||||
\(897\) | 19.0861 | 0.637266 | ||||||||
\(898\) | 0.743527 | − | 0.147897i | 0.0248118 | − | 0.00493538i | ||||
\(899\) | 8.66448 | − | 20.9179i | 0.288976 | − | 0.697651i | ||||
\(900\) | 13.9165 | − | 14.7360i | 0.463883 | − | 0.491201i | ||||
\(901\) | 32.5977 | − | 9.20330i | 1.08599 | − | 0.306606i | ||||
\(902\) | −29.1414 | − | 29.1414i | −0.970301 | − | 0.970301i | ||||
\(903\) | 8.55193 | + | 20.6462i | 0.284590 | + | 0.687062i | ||||
\(904\) | −16.5816 | − | 11.0794i | −0.551495 | − | 0.368497i | ||||
\(905\) | −14.4229 | − | 33.4588i | −0.479434 | − | 1.11221i | ||||
\(906\) | −0.212335 | − | 1.06748i | −0.00705437 | − | 0.0354647i | ||||
\(907\) | −5.14675 | + | 25.8744i | −0.170895 | + | 0.859147i | 0.796259 | + | 0.604956i | \(0.206809\pi\) |
−0.967154 | + | 0.254191i | \(0.918191\pi\) | |||||||
\(908\) | −2.46236 | − | 3.68518i | −0.0817163 | − | 0.122297i | ||||
\(909\) | −14.6409 | − | 35.3462i | −0.485607 | − | 1.17236i | ||||
\(910\) | −8.69526 | + | 8.94753i | −0.288245 | + | 0.296608i | ||||
\(911\) | −6.98238 | − | 1.38888i | −0.231337 | − | 0.0460157i | 0.0780606 | − | 0.996949i | \(-0.475127\pi\) |
−0.309397 | + | 0.950933i | \(0.600127\pi\) | |||||||
\(912\) | −15.4908 | − | 3.08132i | −0.512953 | − | 0.102033i | ||||
\(913\) | −12.7305 | + | 19.0525i | −0.421317 | + | 0.630545i | ||||
\(914\) | 21.3450 | + | 21.3450i | 0.706030 | + | 0.706030i | ||||
\(915\) | −84.9205 | − | 15.6330i | −2.80738 | − | 0.516811i | ||||
\(916\) | −0.0726235 | − | 0.0300817i | −0.00239955 | − | 0.000993926i | ||||
\(917\) | 7.54133 | − | 7.54133i | 0.249037 | − | 0.249037i | ||||
\(918\) | −7.49148 | + | 8.77635i | −0.247256 | + | 0.289663i | ||||
\(919\) | 32.8513i | 1.08366i | 0.840487 | + | 0.541832i | \(0.182269\pi\) | ||||
−0.840487 | + | 0.541832i | \(0.817731\pi\) | |||||||
\(920\) | −3.31789 | − | 3.22434i | −0.109388 | − | 0.106303i | ||||
\(921\) | −16.0764 | + | 24.0601i | −0.529736 | + | 0.792806i | ||||
\(922\) | 8.73931i | 0.287814i | ||||||||
\(923\) | −43.6358 | − | 29.1565i | −1.43629 | − | 0.959699i | ||||
\(924\) | −12.8985 | + | 8.61852i | −0.424330 | + | 0.283529i | ||||
\(925\) | −27.3871 | − | 4.63787i | −0.900481 | − | 0.152492i | ||||
\(926\) | 14.7652 | − | 6.11594i | 0.485214 | − | 0.200982i | ||||
\(927\) | 9.21977 | − | 22.2585i | 0.302817 | − | 0.731065i | ||||
\(928\) | 3.47152 | − | 2.31960i | 0.113958 | − | 0.0761444i | ||||
\(929\) | 2.87561 | + | 4.30365i | 0.0943456 | + | 0.141198i | 0.875640 | − | 0.482965i | \(-0.160440\pi\) |
−0.781294 | + | 0.624163i | \(0.785440\pi\) | |||||||
\(930\) | 31.6728 | + | 5.83065i | 1.03859 | + | 0.191195i | ||||
\(931\) | −18.5833 | + | 18.5833i | −0.609044 | + | 0.609044i | ||||
\(932\) | −1.55811 | − | 7.83316i | −0.0510376 | − | 0.256584i | ||||
\(933\) | 26.8260 | − | 11.1117i | 0.878242 | − | 0.363780i | ||||
\(934\) | 41.6933 | 1.36425 | ||||||||
\(935\) | 32.1266 | − | 9.56830i | 1.05065 | − | 0.312917i | ||||
\(936\) | −14.0797 | −0.460208 | ||||||||
\(937\) | 28.8813 | − | 11.9630i | 0.943512 | − | 0.390816i | 0.142724 | − | 0.989763i | \(-0.454414\pi\) |
0.800789 | + | 0.598947i | \(0.204414\pi\) | |||||||
\(938\) | 0.124266 | + | 0.624729i | 0.00405744 | + | 0.0203981i | ||||
\(939\) | −10.8738 | + | 10.8738i | −0.354854 | + | 0.354854i | ||||
\(940\) | 1.82285 | + | 2.64542i | 0.0594549 | + | 0.0862840i | ||||
\(941\) | 17.1026 | + | 25.5958i | 0.557528 | + | 0.834399i | 0.997990 | − | 0.0633721i | \(-0.0201855\pi\) |
−0.440462 | + | 0.897771i | \(0.645185\pi\) | |||||||
\(942\) | 34.8761 | − | 23.3035i | 1.13632 | − | 0.759268i | ||||
\(943\) | −8.97480 | + | 21.6671i | −0.292260 | + | 0.705577i | ||||
\(944\) | −2.86738 | + | 1.18771i | −0.0933254 | + | 0.0386567i | ||||
\(945\) | −5.46512 | + | 8.43785i | −0.177780 | + | 0.274483i | ||||
\(946\) | 15.8342 | − | 10.5801i | 0.514815 | − | 0.343989i | ||||
\(947\) | −38.8629 | − | 25.9674i | −1.26287 | − | 0.843826i | −0.269985 | − | 0.962864i | \(-0.587019\pi\) |
−0.992890 | + | 0.119038i | \(0.962019\pi\) | |||||||
\(948\) | 42.9949i | 1.39641i | ||||||||
\(949\) | −6.37850 | + | 9.54609i | −0.207055 | + | 0.309879i | ||||
\(950\) | 27.7853 | + | 10.5888i | 0.901473 | + | 0.343547i | ||||
\(951\) | − | 0.304048i | − | 0.00985942i | ||||||
\(952\) | −6.60311 | + | 0.521527i | −0.214008 | + | 0.0169028i | ||||
\(953\) | −37.4769 | + | 37.4769i | −1.21400 | + | 1.21400i | −0.244295 | + | 0.969701i | \(0.578556\pi\) |
−0.969701 | + | 0.244295i | \(0.921444\pi\) | |||||||
\(954\) | 30.7671 | + | 12.7441i | 0.996121 | + | 0.412607i | ||||
\(955\) | 4.09273 | − | 2.82014i | 0.132438 | − | 0.0912576i | ||||
\(956\) | 0.509834 | + | 0.509834i | 0.0164892 | + | 0.0164892i | ||||
\(957\) | 22.3992 | − | 33.5227i | 0.724062 | − | 1.08364i | ||||
\(958\) | 39.7646 | + | 7.90968i | 1.28474 | + | 0.255550i | ||||
\(959\) | −11.8730 | − | 2.36168i | −0.383398 | − | 0.0762626i | ||||
\(960\) | 4.25894 | + | 4.13886i | 0.137457 | + | 0.133581i | ||||
\(961\) | −0.609403 | − | 1.47123i | −0.0196582 | − | 0.0474590i | ||||
\(962\) | 10.7199 | + | 16.0435i | 0.345624 | + | 0.517263i | ||||
\(963\) | 10.7447 | − | 54.0172i | 0.346243 | − | 1.74068i | ||||
\(964\) | 2.40690 | + | 12.1003i | 0.0775210 | + | 0.389725i | ||||
\(965\) | −5.66399 | + | 14.2469i | −0.182330 | + | 0.458624i | ||||
\(966\) | 7.34008 | + | 4.90448i | 0.236163 | + | 0.157799i | ||||
\(967\) | 5.25597 | + | 12.6890i | 0.169021 | + | 0.408052i | 0.985580 | − | 0.169209i | \(-0.0541214\pi\) |
−0.816560 | + | 0.577261i | \(0.804121\pi\) | |||||||
\(968\) | 1.56953 | + | 1.56953i | 0.0504467 | + | 0.0504467i | ||||
\(969\) | −61.9400 | − | 20.1064i | −1.98980 | − | 0.645912i | ||||
\(970\) | 1.66100 | − | 4.17799i | 0.0533315 | − | 0.134147i | ||||
\(971\) | 6.59643 | − | 15.9252i | 0.211690 | − | 0.511064i | −0.781993 | − | 0.623287i | \(-0.785797\pi\) |
0.993683 | + | 0.112223i | \(0.0357970\pi\) | |||||||
\(972\) | 20.5514 | − | 4.08792i | 0.659186 | − | 0.131120i | ||||
\(973\) | 30.2523 | 0.969845 | ||||||||
\(974\) | 16.0683 | − | 3.19619i | 0.514862 | − | 0.102412i | ||||
\(975\) | 45.4755 | + | 7.70106i | 1.45638 | + | 0.246631i | ||||
\(976\) | 2.83655 | − | 14.2603i | 0.0907958 | − | 0.456461i | ||||
\(977\) | 19.6258 | + | 8.12926i | 0.627884 | + | 0.260078i | 0.673854 | − | 0.738865i | \(-0.264638\pi\) |
−0.0459699 | + | 0.998943i | \(0.514638\pi\) | |||||||
\(978\) | −21.1425 | − | 8.75750i | −0.676062 | − | 0.280034i | ||||
\(979\) | 3.48283 | − | 17.5094i | 0.111312 | − | 0.559602i | ||||
\(980\) | 9.66328 | − | 2.06620i | 0.308682 | − | 0.0660022i | ||||
\(981\) | −37.8018 | + | 7.51925i | −1.20692 | + | 0.240071i | ||||
\(982\) | −37.7944 | −1.20607 | ||||||||
\(983\) | 24.1381 | − | 4.80136i | 0.769885 | − | 0.153140i | 0.205507 | − | 0.978656i | \(-0.434116\pi\) |
0.564379 | + | 0.825516i | \(0.309116\pi\) | |||||||
\(984\) | 11.5203 | − | 27.8125i | 0.367254 | − | 0.886629i | ||||
\(985\) | −24.0155 | + | 10.3523i | −0.765199 | + | 0.329851i | ||||
\(986\) | 15.3362 | − | 7.81955i | 0.488403 | − | 0.249025i | ||||
\(987\) | −4.33456 | − | 4.33456i | −0.137971 | − | 0.137971i | ||||
\(988\) | −7.90439 | − | 19.0829i | −0.251472 | − | 0.607107i | ||||
\(989\) | −9.01068 | − | 6.02074i | −0.286523 | − | 0.191448i | ||||
\(990\) | 30.6257 | + | 12.1756i | 0.973348 | + | 0.386965i | ||||
\(991\) | 3.08725 | + | 15.5207i | 0.0980698 | + | 0.493030i | 0.998335 | + | 0.0576875i | \(0.0183727\pi\) |
−0.900265 | + | 0.435342i | \(0.856627\pi\) | |||||||
\(992\) | −1.05795 | + | 5.31867i | −0.0335899 | + | 0.168868i | ||||
\(993\) | 41.9085 | + | 62.7204i | 1.32992 | + | 1.99037i | ||||
\(994\) | −9.28910 | − | 22.4259i | −0.294632 | − | 0.711305i | ||||
\(995\) | 31.4714 | − | 0.450003i | 0.997710 | − | 0.0142660i | ||||
\(996\) | −16.4164 | − | 3.26543i | −0.520174 | − | 0.103469i | ||||
\(997\) | 44.2479 | + | 8.80146i | 1.40135 | + | 0.278745i | 0.837185 | − | 0.546920i | \(-0.184200\pi\) |
0.564161 | + | 0.825665i | \(0.309200\pi\) | |||||||
\(998\) | 16.2502 | − | 24.3202i | 0.514392 | − | 0.769842i | ||||
\(999\) | 10.9936 | + | 10.9936i | 0.347823 | + | 0.347823i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 170.2.o.a.7.1 | ✓ | 32 | |
5.2 | odd | 4 | 850.2.v.c.143.1 | 32 | |||
5.3 | odd | 4 | 170.2.r.a.143.4 | yes | 32 | ||
5.4 | even | 2 | 850.2.s.c.7.4 | 32 | |||
17.5 | odd | 16 | 170.2.r.a.107.4 | yes | 32 | ||
85.22 | even | 16 | 850.2.s.c.243.4 | 32 | |||
85.39 | odd | 16 | 850.2.v.c.107.1 | 32 | |||
85.73 | even | 16 | inner | 170.2.o.a.73.1 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.a.7.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
170.2.o.a.73.1 | yes | 32 | 85.73 | even | 16 | inner | |
170.2.r.a.107.4 | yes | 32 | 17.5 | odd | 16 | ||
170.2.r.a.143.4 | yes | 32 | 5.3 | odd | 4 | ||
850.2.s.c.7.4 | 32 | 5.4 | even | 2 | |||
850.2.s.c.243.4 | 32 | 85.22 | even | 16 | |||
850.2.v.c.107.1 | 32 | 85.39 | odd | 16 | |||
850.2.v.c.143.1 | 32 | 5.2 | odd | 4 |